31638454848 has 1260 divisors, whose sum is σ = 130799232432. Its totient is φ = 7472424960.

The previous prime is 31638454819. The next prime is 31638454853. The reversal of 31638454848 is 84845483613.

It is a happy number.

31638454848 is a `hidden beast` number, since 3 + 16 + 3 + 84 + 548 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31638454794 and 31638454803.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 472215711 + ... + 472215777.

Almost surely, 2^31638454848 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 31638454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65399616216).

31638454848 is an abundant number, since it is smaller than the sum of its proper divisors (99160777584).

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

31638454848 is a wasteful number, since it uses less digits than its factorization.

31638454848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 31638454848 in words is "thirty-one billion, six hundred thirty-eight million, four hundred fifty-four thousand, eight hundred forty-eight".