48913524000 has 1152 divisors, whose sum is σ = 207048441600. Its totient is φ = 11176704000.

The previous prime is 48913523927. The next prime is 48913524041. The reversal of 48913524000 is 42531984.

48913524000 is a `hidden beast` number, since 48 + 91 + 3 + 524 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248291902 + ... + 248292098.

It is an arithmetic number, because the mean of its divisors is an integer number (179729550).

Almost surely, 2^48913524000 is an apocalyptic number.

48913524000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48913524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103524220800).

48913524000 is an abundant number, since it is smaller than the sum of its proper divisors (158134917600).

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

48913524000 is a wasteful number, since it uses less digits than its factorization.

48913524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 48913524000 in words is "forty-eight billion, nine hundred thirteen million, five hundred twenty-four thousand".