315844005456 has 160 divisors (see below), whose sum is σ = 1036721145600. Its totient is φ = 90187223040.

The previous prime is 315844005443. The next prime is 315844005457. The reversal of 315844005456 is 654500448513.

315844005456 is a `hidden beast` number, since 3 + 158 + 4 + 40 + 0 + 5 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315844005457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5173960 + ... + 5234648.

It is an arithmetic number, because the mean of its divisors is an integer number (6479507160).

Almost surely, 2^315844005456 is an apocalyptic number.

315844005456 is a gapful number since it is divisible by the number (36) 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 315844005456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518360572800).

315844005456 is an abundant number, since it is smaller than the sum of its proper divisors (720877140144).

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

315844005456 is a wasteful number, since it uses less digits than its factorization.

315844005456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62434 (or 62422 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 315844005456 in words is "three hundred fifteen billion, eight hundred forty-four million, five thousand, four hundred fifty-six".