71347245984 has 384 divisors, whose sum is σ = 248655052800. Its totient is φ = 19473592320.

The previous prime is 71347245967. The next prime is 71347246001. The reversal of 71347245984 is 48954274317.

71347245984 is a `hidden beast` number, since 7 + 1 + 3 + 47 + 2 + 4 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (71347245967) and next prime (71347246001).

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

It is a self number, because there is not a number n which added to its sum of digits gives 71347245984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14809144 + ... + 14813960.

It is an arithmetic number, because the mean of its divisors is an integer number (647539200).

Almost surely, 2^71347245984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71347245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124327526400).

71347245984 is an abundant number, since it is smaller than the sum of its proper divisors (177307806816).

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

71347245984 is a wasteful number, since it uses less digits than its factorization.

71347245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4939 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 71347245984 in words is "seventy-one billion, three hundred forty-seven million, two hundred forty-five thousand, nine hundred eighty-four".