31030803648 has 896 divisors, whose sum is σ = 112654080000. Its totient is φ = 8277147648.

The previous prime is 31030803607. The next prime is 31030803691. The reversal of 31030803648 is 84630803013.

It is a happy number.

31030803648 is a `hidden beast` number, since 3 + 1 + 0 + 3 + 0 + 8 + 0 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284686218 + ... + 284686326.

It is an arithmetic number, because the mean of its divisors is an integer number (125730000).

Almost surely, 2^31030803648 is an apocalyptic number.

31030803648 is a gapful number since it is divisible by the number (38) 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 31030803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040000).

31030803648 is an abundant number, since it is smaller than the sum of its proper divisors (81623276352).

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

31030803648 is a wasteful number, since it uses less digits than its factorization.

31030803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31030803648 in words is "thirty-one billion, thirty million, eight hundred three thousand, six hundred forty-eight".