152815362048 has 1120 divisors, whose sum is σ = 548078192640. Its totient is φ = 42042654720.

The previous prime is 152815362043. The next prime is 152815362109. The reversal of 152815362048 is 840263518251.

152815362048 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 15 + 3 + 620 + 4 + 8 = 666.

152815362048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152815362048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152815361994 and 152815362012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152815362043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4929527793 + ... + 4929527823.

Almost surely, 2^152815362048 is an apocalyptic number.

152815362048 is a gapful number since it is divisible by the number (18) 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 152815362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274039096320).

152815362048 is an abundant number, since it is smaller than the sum of its proper divisors (395262830592).

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

152815362048 is a wasteful number, since it uses less digits than its factorization.

152815362048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 152815362048 in words is "one hundred fifty-two billion, eight hundred fifteen million, three hundred sixty-two thousand, forty-eight".