48491633664 has 352 divisors, whose sum is σ = 148248652800. Its totient is φ = 15846617088.

The previous prime is 48491633623. The next prime is 48491633683. The reversal of 48491633664 is 46633619484.

It is a happy number.

48491633664 is a `hidden beast` number, since 4 + 8 + 491 + 63 + 36 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48491633664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132129609 + ... + 132129975.

Almost surely, 2^48491633664 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 48491633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74124326400).

48491633664 is an abundant number, since it is smaller than the sum of its proper divisors (99757019136).

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

48491633664 is an frugal number, since it uses more digits than its factorization.

48491633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 431 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 48491633664 in words is "forty-eight billion, four hundred ninety-one million, six hundred thirty-three thousand, six hundred sixty-four".