31072509416 has 32 divisors (see below), whose sum is σ = 63536793600. Its totient is φ = 14159620800.

The previous prime is 31072509401. The next prime is 31072509421. The reversal of 31072509416 is 61490527013.

It is a super-2 number, since 2×31072509416² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31072509416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882760 + ... + 1899191.

It is an arithmetic number, because the mean of its divisors is an integer number (1985524800).

Almost surely, 2^31072509416 is an apocalyptic number.

It is an amenable number.

31072509416 is an abundant number, since it is smaller than the sum of its proper divisors (32464284184).

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

31072509416 is a wasteful number, since it uses less digits than its factorization.

31072509416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782049 (or 3782045 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 31072509416 in words is "thirty-one billion, seventy-two million, five hundred nine thousand, four hundred sixteen".