48701160144 has 320 divisors, whose sum is σ = 172388966400. Its totient is φ = 12818953728.

The previous prime is 48701160059. The next prime is 48701160161. The reversal of 48701160144 is 44106110784.

48701160144 is a `hidden beast` number, since 4 + 8 + 7 + 0 + 1 + 1 + 601 + 44 = 666.

48701160144 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 48701160099 and 48701160108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28264467 + ... + 28266189.

It is an arithmetic number, because the mean of its divisors is an integer number (538715520).

Almost surely, 2^48701160144 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 48701160144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86194483200).

48701160144 is an abundant number, since it is smaller than the sum of its proper divisors (123687806256).

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

48701160144 is a wasteful number, since it uses less digits than its factorization.

48701160144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 48701160144 in words is "forty-eight billion, seven hundred one million, one hundred sixty thousand, one hundred forty-four".