156350013556464 has 1920 divisors, whose sum is σ = 590952576614400. Its totient is φ = 38892247511040.

The previous prime is 156350013556447. The next prime is 156350013556549. The reversal of 156350013556464 is 464655310053651.

156350013556464 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 5 + 0 + 0 + 13 + 5 + 564 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 156350013556464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 318431799259 + ... + 318431799749.

It is an arithmetic number, because the mean of its divisors is an integer number (307787800320).

Almost surely, 2^{156350013556464} is an apocalyptic number.

156350013556464 is a gapful number since it is divisible by the number (14) 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 156350013556464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295476288307200).

156350013556464 is an abundant number, since it is smaller than the sum of its proper divisors (434602563057936).

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

156350013556464 is a wasteful number, since it uses less digits than its factorization.

156350013556464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 156350013556464 in words is "one hundred fifty-six trillion, three hundred fifty billion, thirteen million, five hundred fifty-six thousand, four hundred sixty-four".