48719833344 has 360 divisors, whose sum is σ = 178805359040. Its totient is φ = 12848689152.

The previous prime is 48719833249. The next prime is 48719833369. The reversal of 48719833344 is 44333891784.

48719833344 is a `hidden beast` number, since 4 + 87 + 198 + 33 + 344 = 666.

48719833344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48719833344² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1874067 + ... + 1899885.

Almost surely, 2^48719833344 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 48719833344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89402679520).

48719833344 is an abundant number, since it is smaller than the sum of its proper divisors (130085525696).

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

48719833344 is a wasteful number, since it uses less digits than its factorization.

48719833344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25867 (or 25844 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 48719833344 in words is "forty-eight billion, seven hundred nineteen million, eight hundred thirty-three thousand, three hundred forty-four".