153412993656 has 512 divisors, whose sum is σ = 482446540800. Its totient is φ = 45430253568.

The previous prime is 153412993639. The next prime is 153412993661. The reversal of 153412993656 is 656399214351.

153412993656 is a `hidden beast` number, since 1 + 5 + 341 + 299 + 3 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1207976265 + ... + 1207976391.

It is an arithmetic number, because the mean of its divisors is an integer number (942278400).

Almost surely, 2^153412993656 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 153412993656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241223270400).

153412993656 is an abundant number, since it is smaller than the sum of its proper divisors (329033547144).

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

153412993656 is a wasteful number, since it uses less digits than its factorization.

153412993656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 153412993656 in words is "one hundred fifty-three billion, four hundred twelve million, nine hundred ninety-three thousand, six hundred fifty-six".