153336409056 has 432 divisors, whose sum is σ = 489314577024. Its totient is φ = 45342720000.

The previous prime is 153336409013. The next prime is 153336409069. The reversal of 153336409056 is 650904633351.

153336409056 is a `hidden beast` number, since 1 + 533 + 3 + 64 + 0 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×153336409056² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255135156 + ... + 255135756.

It is an arithmetic number, because the mean of its divisors is an integer number (1132672632).

Almost surely, 2^153336409056 is an apocalyptic number.

153336409056 is a gapful number since it is divisible by the number (16) 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 153336409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244657288512).

153336409056 is an abundant number, since it is smaller than the sum of its proper divisors (335978167968).

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

153336409056 is a wasteful number, since it uses less digits than its factorization.

153336409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 153336409056 in words is "one hundred fifty-three billion, three hundred thirty-six million, four hundred nine thousand, fifty-six".