31141123854960 has 320 divisors, whose sum is σ = 114432314148864. Its totient is φ = 6857021952000.

The previous prime is 31141123854887. The next prime is 31141123855021. The reversal of 31141123854960 is 6945832114113.

It is a super-3 number, since 3×31141123854960³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3798045 + ... + 8758275.

Almost surely, 2^{31141123854960} is an apocalyptic number.

31141123854960 is a gapful number since it is divisible by the number (30) 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 31141123854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57216157074432).

31141123854960 is an abundant number, since it is smaller than the sum of its proper divisors (83291190293904).

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

31141123854960 is a wasteful number, since it uses less digits than its factorization.

31141123854960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960392 (or 4960386 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 31141123854960 in words is "thirty-one trillion, one hundred forty-one billion, one hundred twenty-three million, eight hundred fifty-four thousand, nine hundred sixty".