48039546614400 has 1920 divisors, whose sum is σ = 206486075473920. Its totient is φ = 10959556608000.

The previous prime is 48039546614359. The next prime is 48039546614459. The reversal of 48039546614400 is 441664593084.

48039546614400 is a `hidden beast` number, since 4 + 8 + 0 + 39 + 5 + 466 + 144 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×48039546614400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5864914305 + ... + 5864922495.

It is an arithmetic number, because the mean of its divisors is an integer number (107544830976).

Almost surely, 2^{48039546614400} is an apocalyptic number.

48039546614400 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 48039546614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103243037736960).

48039546614400 is an abundant number, since it is smaller than the sum of its proper divisors (158446528859520).

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

48039546614400 is a wasteful number, since it uses less digits than its factorization.

48039546614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 48039546614400 in words is "forty-eight trillion, thirty-nine billion, five hundred forty-six million, six hundred fourteen thousand, four hundred".