48153364592256 has 768 divisors, whose sum is σ = 187174459929600. Its totient is φ = 11497865379840.

The previous prime is 48153364592243. The next prime is 48153364592257. The reversal of 48153364592256 is 65229546335184.

48153364592256 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 3 + 36 + 4 + 592 + 2 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48153364592193 and 48153364592202.

It is not an unprimeable number, because it can be changed into a prime (48153364592257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64471315 + ... + 65213933.

It is an arithmetic number, because the mean of its divisors is an integer number (243716744700).

Almost surely, 2^{48153364592256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48153364592256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93587229964800).

48153364592256 is an abundant number, since it is smaller than the sum of its proper divisors (139021095337344).

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

48153364592256 is a wasteful number, since it uses less digits than its factorization.

48153364592256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742717 (or 742702 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 48153364592256 in words is "forty-eight trillion, one hundred fifty-three billion, three hundred sixty-four million, five hundred ninety-two thousand, two hundred fifty-six".