31072387905468 has 288 divisors, whose sum is σ = 101519018997760. Its totient is φ = 8091180564480.

The previous prime is 31072387905359. The next prime is 31072387905473. The reversal of 31072387905468 is 86450978327013.

31072387905468 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 2 + 3 + 87 + 9 + 0 + 546 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4764348 + ... + 9211068.

It is a 2-persistent number, because it is pandigital, and so is 2⋅31072387905468 = 62144775810936, but 3⋅31072387905468 = 93217163716404 is not.

Almost surely, 2^{31072387905468} 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 31072387905468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50759509498880).

31072387905468 is an abundant number, since it is smaller than the sum of its proper divisors (70446631092292).

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

31072387905468 is a wasteful number, since it uses less digits than its factorization.

31072387905468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446839 (or 4446825 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 31072387905468 in words is "thirty-one trillion, seventy-two billion, three hundred eighty-seven million, nine hundred five thousand, four hundred sixty-eight".