48956408928 has 144 divisors (see below), whose sum is σ = 164595019680. Its totient is φ = 13505200128.

The previous prime is 48956408861. The next prime is 48956408951. The reversal of 48956408928 is 82980465984.

48956408928 is a `hidden beast` number, since 48 + 9 + 564 + 0 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360225 + ... + 477152.

It is an arithmetic number, because the mean of its divisors is an integer number (1143020970).

Almost surely, 2^48956408928 is an apocalyptic number.

48956408928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48956408928 is an abundant number, since it is smaller than the sum of its proper divisors (115638610752).

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

48956408928 is a wasteful number, since it uses less digits than its factorization.

48956408928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837429 (or 837418 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 48956408928 in words is "forty-eight billion, nine hundred fifty-six million, four hundred eight thousand, nine hundred twenty-eight".