153014992413696 has 1760 divisors, whose sum is σ = 573537898340352. Its totient is φ = 39626157588480.

The previous prime is 153014992413677. The next prime is 153014992413709. The reversal of 153014992413696 is 696314299410351.

It is a happy number.

153014992413696 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 1 + 49 + 92 + 413 + 6 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69457553331 + ... + 69457555533.

Almost surely, 2^{153014992413696} is an apocalyptic number.

153014992413696 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 153014992413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286768949170176).

153014992413696 is an abundant number, since it is smaller than the sum of its proper divisors (420522905926656).

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

153014992413696 is a wasteful number, since it uses less digits than its factorization.

153014992413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 153014992413696 in words is "one hundred fifty-three trillion, fourteen billion, nine hundred ninety-two million, four hundred thirteen thousand, six hundred ninety-six".