31293350257152 has 160 divisors (see below), whose sum is σ = 83612523456000. Its totient is φ = 10400489013248.

The previous prime is 31293350257129. The next prime is 31293350257163. The reversal of 31293350257152 is 25175205339213.

It is a super-2 number, since 2×31293350257152² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895382974 + ... + 895417922.

It is an arithmetic number, because the mean of its divisors is an integer number (522578271600).

Almost surely, 2^{31293350257152} is an apocalyptic number.

31293350257152 is a gapful number since it is divisible by the number (32) 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 31293350257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41806261728000).

31293350257152 is an abundant number, since it is smaller than the sum of its proper divisors (52319173198848).

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

31293350257152 is a wasteful number, since it uses less digits than its factorization.

31293350257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36666 (or 36650 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The spelling of 31293350257152 in words is "thirty-one trillion, two hundred ninety-three billion, three hundred fifty million, two hundred fifty-seven thousand, one hundred fifty-two".