31429472256 has 624 divisors, whose sum is σ = 116207879424. Its totient is φ = 8265203712.

The previous prime is 31429472251. The next prime is 31429472257. The reversal of 31429472256 is 65227492413.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31429472251) 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, 90574675 + ... + 90575021.

It is an arithmetic number, because the mean of its divisors is an integer number (186230576).

Almost surely, 2^31429472256 is an apocalyptic number.

31429472256 is a gapful number since it is divisible by the number (36) 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 31429472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58103939712).

31429472256 is an abundant number, since it is smaller than the sum of its proper divisors (84778407168).

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

31429472256 is an equidigital number, since it uses as much as digits as its factorization.

31429472256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 372 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 31429472256 in words is "thirty-one billion, four hundred twenty-nine million, four hundred seventy-two thousand, two hundred fifty-six".