71346905118720 has 2304 divisors, whose sum is σ = 324152926755840. Its totient is φ = 14619377664000.

The previous prime is 71346905118719. The next prime is 71346905118721. The reversal of 71346905118720 is 2781150964317.

71346905118720 is a `hidden beast` number, since 7 + 1 + 3 + 46 + 9 + 0 + 511 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71346905118719) and next prime (71346905118721).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71346905118721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13986844170 + ... + 13986849270.

It is an arithmetic number, because the mean of its divisors is an integer number (140691374460).

It is a 1-persistent number, because it is pandigital, but 2⋅71346905118720 = 142693810237440 is not.

Almost surely, 2^{71346905118720} is an apocalyptic number.

71346905118720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71346905118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162076463377920).

71346905118720 is an abundant number, since it is smaller than the sum of its proper divisors (252806021637120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71346905118720 is a wasteful number, since it uses less digits than its factorization.

71346905118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 71346905118720 in words is "seventy-one trillion, three hundred forty-six billion, nine hundred five million, one hundred eighteen thousand, seven hundred twenty".