48112459200 has 756 divisors, whose sum is σ = 189895840680. Its totient is φ = 11484426240.

The previous prime is 48112459139. The next prime is 48112459223. The reversal of 48112459200 is 295421184.

48112459200 is a `hidden beast` number, since 48 + 1 + 1 + 24 + 592 + 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 107 ways as a sum of consecutive naturals, for example, 346132731 + ... + 346132869.

Almost surely, 2^48112459200 is an apocalyptic number.

48112459200 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 48112459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94947920340).

48112459200 is an abundant number, since it is smaller than the sum of its proper divisors (141783381480).

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

48112459200 is a wasteful number, since it uses less digits than its factorization.

48112459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 48112459200 in words is "forty-eight billion, one hundred twelve million, four hundred fifty-nine thousand, two hundred".