48157808832 has 336 divisors, whose sum is σ = 162160427520. Its totient is φ = 13380304896.

The previous prime is 48157808789. The next prime is 48157808863. The reversal of 48157808832 is 23880875184.

48157808832 is a `hidden beast` number, since 481 + 5 + 7 + 80 + 8 + 83 + 2 = 666.

48157808832 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 (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23074093 + ... + 23076179.

It is an arithmetic number, because the mean of its divisors is an integer number (482620320).

Almost surely, 2^48157808832 is an apocalyptic number.

48157808832 is a gapful number since it is divisible by the number (42) 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 48157808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81080213760).

48157808832 is an abundant number, since it is smaller than the sum of its proper divisors (114002618688).

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

48157808832 is a wasteful number, since it uses less digits than its factorization.

48157808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 48157808832 in words is "forty-eight billion, one hundred fifty-seven million, eight hundred eight thousand, eight hundred thirty-two".