71161124348160 has 3024 divisors, whose sum is σ = 326809626417792. Its totient is φ = 14673125376000.

The previous prime is 71161124348141. The next prime is 71161124348183. The reversal of 71161124348160 is 6184342116117.

71161124348160 is a `hidden beast` number, since 7 + 1 + 1 + 61 + 12 + 43 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 75945703212 + ... + 75945704148.

It is an arithmetic number, because the mean of its divisors is an integer number (108071966408).

Almost surely, 2^{71161124348160} is an apocalyptic number.

71161124348160 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 71161124348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163404813208896).

71161124348160 is an abundant number, since it is smaller than the sum of its proper divisors (255648502069632).

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

71161124348160 is a wasteful number, since it uses less digits than its factorization.

71161124348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71161124348160 in words is "seventy-one trillion, one hundred sixty-one billion, one hundred twenty-four million, three hundred forty-eight thousand, one hundred sixty".