48048048864 has 72 divisors (see below), whose sum is σ = 139543840800. Its totient is φ = 15675245568.

The previous prime is 48048048847. The next prime is 48048048877. The reversal of 48048048864 is 46884084084.

It is a happy number.

48048048864 is a `hidden beast` number, since 4 + 80 + 4 + 80 + 488 + 6 + 4 = 666.

48048048864 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 (72).

It is a super-3 number, since 3×48048048864³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48048048864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1761289 + ... + 1788360.

It is an arithmetic number, because the mean of its divisors is an integer number (1938108900).

Almost surely, 2^48048048864 is an apocalyptic number.

It is an amenable number.

48048048864 is an abundant number, since it is smaller than the sum of its proper divisors (91495791936).

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

48048048864 is a wasteful number, since it uses less digits than its factorization.

48048048864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549712 (or 3549701 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 48048048864 in words is "forty-eight billion, forty-eight million, forty-eight thousand, eight hundred sixty-four".