71601631344 has 40 divisors (see below), whose sum is σ = 205523202320. Its totient is φ = 23867210304.

The previous prime is 71601631337. The next prime is 71601631349. The reversal of 71601631344 is 44313610617.

71601631344 is a `hidden beast` number, since 7 + 1 + 601 + 6 + 3 + 1 + 3 + 44 = 666.

It is a super-2 number, since 2×71601631344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71601631299 and 71601631308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71601631349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82871827 + ... + 82872690.

It is an arithmetic number, because the mean of its divisors is an integer number (5138080058).

Almost surely, 2^71601631344 is an apocalyptic number.

It is an amenable number.

71601631344 is an abundant number, since it is smaller than the sum of its proper divisors (133921570976).

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

71601631344 is a wasteful number, since it uses less digits than its factorization.

71601631344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165744534 (or 165744522 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 71601631344 in words is "seventy-one billion, six hundred one million, six hundred thirty-one thousand, three hundred forty-four".