48216094725888 has 288 divisors, whose sum is σ = 146203594360320. Its totient is φ = 15668917862400.

The previous prime is 48216094725839. The next prime is 48216094725959. The reversal of 48216094725888 is 88852749061284.

48216094725888 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 609 + 4 + 7 + 2 + 5 + 8 + 8 + 8 = 666.

48216094725888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 44384413 + ... + 45457763.

Almost surely, 2^{48216094725888} is an apocalyptic number.

48216094725888 is a gapful number since it is divisible by the number (48) 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 48216094725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73101797180160).

48216094725888 is an abundant number, since it is smaller than the sum of its proper divisors (97987499634432).

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

48216094725888 is a wasteful number, since it uses less digits than its factorization.

48216094725888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073540 (or 1073520 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 48216094725888 in words is "forty-eight trillion, two hundred sixteen billion, ninety-four million, seven hundred twenty-five thousand, eight hundred eighty-eight".