48618944640 has 576 divisors, whose sum is σ = 206805956760. Its totient is φ = 10458169344.

The previous prime is 48618944617. The next prime is 48618944663. The reversal of 48618944640 is 4644981684.

48618944640 is a `hidden beast` number, since 4 + 86 + 1 + 89 + 446 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (48618944617) and next prime (48618944663).

It can be written as a sum of positive squares in 4 ways, for example, as 47478666816 + 1140277824 = 217896^2 + 33768^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4793014 + ... + 4803146.

Almost surely, 2^48618944640 is an apocalyptic number.

48618944640 is a gapful number since it is divisible by the number (40) 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 48618944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103402978380).

48618944640 is an abundant number, since it is smaller than the sum of its proper divisors (158187012120).

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

48618944640 is a wasteful number, since it uses less digits than its factorization.

48618944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48618944640 in words is "forty-eight billion, six hundred eighteen million, nine hundred forty-four thousand, six hundred forty".