48932430624000 has 6912 divisors, whose sum is σ = 247551928565760. Its totient is φ = 8971223040000.

The previous prime is 48932430623981. The next prime is 48932430624047. The reversal of 48932430624000 is 42603423984.

48932430624000 is a `hidden beast` number, since 4 + 89 + 3 + 24 + 306 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 619397855961 + ... + 619397856039.

It is an arithmetic number, because the mean of its divisors is an integer number (35814804480).

Almost surely, 2^{48932430624000} is an apocalyptic number.

48932430624000 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 48932430624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123775964282880).

48932430624000 is an abundant number, since it is smaller than the sum of its proper divisors (198619497941760).

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

48932430624000 is a wasteful number, since it uses less digits than its factorization.

48932430624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 48932430624000 in words is "forty-eight trillion, nine hundred thirty-two billion, four hundred thirty million, six hundred twenty-four thousand".