31845155245968 has 160 divisors (see below), whose sum is σ = 85977166823424. Its totient is φ = 10137725047296.

The previous prime is 31845155245951. The next prime is 31845155245979. The reversal of 31845155245968 is 86954255154813.

It is a happy number.

It is a super-2 number, since 2×31845155245968² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31845155245899 and 31845155245908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2325645330 + ... + 2325659022.

Almost surely, 2^{31845155245968} 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 31845155245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42988583411712).

31845155245968 is an abundant number, since it is smaller than the sum of its proper divisors (54132011577456).

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

31845155245968 is a wasteful number, since it uses less digits than its factorization.

31845155245968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16853 (or 16847 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 66.

The spelling of 31845155245968 in words is "thirty-one trillion, eight hundred forty-five billion, one hundred fifty-five million, two hundred forty-five thousand, nine hundred sixty-eight".