48637154966400 has 4608 divisors, whose sum is σ = 239407236956160. Its totient is φ = 9153036288000.

The previous prime is 48637154966383. The next prime is 48637154966419. The reversal of 48637154966400 is 466945173684.

48637154966400 is a `hidden beast` number, since 4 + 8 + 63 + 71 + 5 + 49 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 254644790305 + ... + 254644790495.

It is an arithmetic number, because the mean of its divisors is an integer number (51954695520).

Almost surely, 2^{48637154966400} is an apocalyptic number.

48637154966400 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 48637154966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119703618478080).

48637154966400 is an abundant number, since it is smaller than the sum of its proper divisors (190770081989760).

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

48637154966400 is a wasteful number, since it uses less digits than its factorization.

48637154966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 48637154966400 in words is "forty-eight trillion, six hundred thirty-seven billion, one hundred fifty-four million, nine hundred sixty-six thousand, four hundred".