31025545841664 has 880 divisors, whose sum is σ = 102592351699200. Its totient is φ = 9261208535040.

The previous prime is 31025545841623. The next prime is 31025545841677. The reversal of 31025545841664 is 46614854552013.

31025545841664 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 5 + 54 + 584 + 1 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×31025545841664³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31025545841664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19427391714 + ... + 19427393310.

It is an arithmetic number, because the mean of its divisors is an integer number (116582217840).

Almost surely, 2^{31025545841664} 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 31025545841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51296175849600).

31025545841664 is an abundant number, since it is smaller than the sum of its proper divisors (71566805857536).

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

31025545841664 is a wasteful number, since it uses less digits than its factorization.

31025545841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 31025545841664 in words is "thirty-one trillion, twenty-five billion, five hundred forty-five million, eight hundred forty-one thousand, six hundred sixty-four".