49877433946368 has 864 divisors, whose sum is σ = 177774896880000. Its totient is φ = 13737510420480.

The previous prime is 49877433946297. The next prime is 49877433946399. The reversal of 49877433946368 is 86364933477894.

49877433946368 is a `hidden beast` number, since 4 + 9 + 8 + 77 + 43 + 394 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6786965158 + ... + 6786972506.

It is an arithmetic number, because the mean of its divisors is an integer number (205757982500).

Almost surely, 2^{49877433946368} is an apocalyptic number.

49877433946368 is a gapful number since it is divisible by the number (48) 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 49877433946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88887448440000).

49877433946368 is an abundant number, since it is smaller than the sum of its proper divisors (127897462933632).

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

49877433946368 is a wasteful number, since it uses less digits than its factorization.

49877433946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8081 counting only the distinct ones).

The product of its digits is 15801827328, while the sum is 81.

The spelling of 49877433946368 in words is "forty-nine trillion, eight hundred seventy-seven billion, four hundred thirty-three million, nine hundred forty-six thousand, three hundred sixty-eight".