48125542518144 has 1920 divisors, whose sum is σ = 186919854612480. Its totient is φ = 12017212047360.

The previous prime is 48125542518091. The next prime is 48125542518167. The reversal of 48125542518144 is 44181524552184.

48125542518144 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 5 + 542 + 51 + 8 + 1 + 44 = 666.

48125542518144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17870604862 + ... + 17870607554.

It is an arithmetic number, because the mean of its divisors is an integer number (97354090944).

Almost surely, 2^{48125542518144} 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 48125542518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93459927306240).

48125542518144 is an abundant number, since it is smaller than the sum of its proper divisors (138794312094336).

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

48125542518144 is a wasteful number, since it uses less digits than its factorization.

48125542518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2796 counting only the distinct ones).

The product of its digits is 8192000, while the sum is 54.

The spelling of 48125542518144 in words is "forty-eight trillion, one hundred twenty-five billion, five hundred forty-two million, five hundred eighteen thousand, one hundred forty-four".