48215758453632 has 1536 divisors, whose sum is σ = 184744175616000. Its totient is φ = 12110310051840.

The previous prime is 48215758453607. The next prime is 48215758453661. The reversal of 48215758453632 is 23635485751284.

48215758453632 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 575 + 8 + 4 + 53 + 6 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48215758453632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12964708669 + ... + 12964712387.

It is an arithmetic number, because the mean of its divisors is an integer number (120276156000).

Almost surely, 2^{48215758453632} is an apocalyptic number.

48215758453632 is a gapful number since it is divisible by the number (42) 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 48215758453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92372087808000).

48215758453632 is an abundant number, since it is smaller than the sum of its proper divisors (136528417162368).

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

48215758453632 is a wasteful number, since it uses less digits than its factorization.

48215758453632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3888 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 48215758453632 in words is "forty-eight trillion, two hundred fifteen billion, seven hundred fifty-eight million, four hundred fifty-three thousand, six hundred thirty-two".