48735836100 has 324 divisors, whose sum is σ = 179547859764. Its totient is φ = 11023810560.

The previous prime is 48735836069. The next prime is 48735836153. The reversal of 48735836100 is 163853784.

48735836100 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 583 + 61 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 78535044 + 48657301056 = 8862^2 + 220584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4272004 + ... + 4283396.

It is an arithmetic number, because the mean of its divisors is an integer number (554160061).

Almost surely, 2^48735836100 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 48735836100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89773929882).

48735836100 is an abundant number, since it is smaller than the sum of its proper divisors (130812023664).

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

48735836100 is a wasteful number, since it uses less digits than its factorization.

48735836100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48735836100 in words is "forty-eight billion, seven hundred thirty-five million, eight hundred thirty-six thousand, one hundred".