315553606415656 has 128 divisors (see below), whose sum is σ = 712889553600000. Its totient is φ = 128018451382272.

The previous prime is 315553606415617. The next prime is 315553606415689. The reversal of 315553606415656 is 656514606355513.

It is a super-3 number, since 3×315553606415656³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315553606415594 and 315553606415603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4591238700 + ... + 4591307428.

It is an arithmetic number, because the mean of its divisors is an integer number (5569449637500).

Almost surely, 2^{315553606415656} 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 315553606415656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356444776800000).

315553606415656 is an abundant number, since it is smaller than the sum of its proper divisors (397335947184344).

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

315553606415656 is a wasteful number, since it uses less digits than its factorization.

315553606415656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105611 (or 105607 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 61.

The spelling of 315553606415656 in words is "three hundred fifteen trillion, five hundred fifty-three billion, six hundred six million, four hundred fifteen thousand, six hundred fifty-six".