48624660180 has 384 divisors, whose sum is σ = 164737843200. Its totient is φ = 11869659648.

The previous prime is 48624660169. The next prime is 48624660181. The reversal of 48624660180 is 8106642684.

48624660180 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 466 + 0 + 180 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48624660181) by changing a digit.

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, 45742329 + ... + 45743391.

It is an arithmetic number, because the mean of its divisors is an integer number (429004800).

Almost surely, 2^48624660180 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 48624660180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82368921600).

48624660180 is an abundant number, since it is smaller than the sum of its proper divisors (116113183020).

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

48624660180 is a wasteful number, since it uses less digits than its factorization.

48624660180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48624660180 in words is "forty-eight billion, six hundred twenty-four million, six hundred sixty thousand, one hundred eighty".