48460972032 has 480 divisors, whose sum is σ = 163824514560. Its totient is φ = 14014218240.

The previous prime is 48460972031. The next prime is 48460972061. The reversal of 48460972032 is 23027906484.

48460972032 is a `hidden beast` number, since 4 + 8 + 4 + 609 + 7 + 2 + 0 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48460972031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111918888 + ... + 111919320.

It is an arithmetic number, because the mean of its divisors is an integer number (341301072).

Almost surely, 2^48460972032 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 48460972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81912257280).

48460972032 is an abundant number, since it is smaller than the sum of its proper divisors (115363542528).

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

48460972032 is a wasteful number, since it uses less digits than its factorization.

48460972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48460972032 in words is "forty-eight billion, four hundred sixty million, nine hundred seventy-two thousand, thirty-two".