31454112896640 has 960 divisors, whose sum is σ = 132015756466440. Its totient is φ = 7115337105408.

The previous prime is 31454112896629. The next prime is 31454112896669. The reversal of 31454112896640 is 4669821145413.

31454112896640 is a `hidden beast` number, since 3 + 1 + 4 + 541 + 1 + 2 + 8 + 96 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13756206252096 + 17697906644544 = 3708936^2 + 4206888^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×31454112896640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246331692 + ... + 246459348.

Almost surely, 2^{31454112896640} is an apocalyptic number.

31454112896640 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 31454112896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66007878233220).

31454112896640 is an abundant number, since it is smaller than the sum of its proper divisors (100561643569800).

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

31454112896640 is a wasteful number, since it uses less digits than its factorization.

31454112896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127799 (or 127771 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 31454112896640 in words is "thirty-one trillion, four hundred fifty-four billion, one hundred twelve million, eight hundred ninety-six thousand, six hundred forty".