71930172408831 has 48 divisors (see below), whose sum is σ = 113482419736608. Its totient is φ = 43541010950400.

The previous prime is 71930172408821. The next prime is 71930172408839. The reversal of 71930172408831 is 13880427103917.

71930172408831 is a `hidden beast` number, since 7 + 1 + 9 + 30 + 172 + 408 + 8 + 31 = 666.

It is not a de Polignac number, because 71930172408831 - 2⁶ = 71930172408767 is a prime.

It is a super-3 number, since 3×71930172408831³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71930172408839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607679121 + ... + 1607723861.

It is an arithmetic number, because the mean of its divisors is an integer number (2364217077846).

Almost surely, 2^{71930172408831} is an apocalyptic number.

71930172408831 is a deficient number, since it is larger than the sum of its proper divisors (41552247327777).

71930172408831 is a wasteful number, since it uses less digits than its factorization.

71930172408831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64152 (or 64149 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 71930172408831 in words is "seventy-one trillion, nine hundred thirty billion, one hundred seventy-two million, four hundred eight thousand, eight hundred thirty-one".