315474432000 has 1664 divisors, whose sum is σ = 1348698344448. Its totient is φ = 63700992000.

The previous prime is 315474431977. The next prime is 315474432023. The reversal of 315474432000 is 234474513.

It is an interprime number because it is at equal distance from previous prime (315474431977) and next prime (315474432023).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5171711970 + ... + 5171712030.

It is an arithmetic number, because the mean of its divisors is an integer number (810515832).

Almost surely, 2^315474432000 is an apocalyptic number.

315474432000 is a gapful number since it is divisible by the number (30) 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 315474432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674349172224).

315474432000 is an abundant number, since it is smaller than the sum of its proper divisors (1033223912448).

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

315474432000 is a wasteful number, since it uses less digits than its factorization.

315474432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 315474432000 in words is "three hundred fifteen billion, four hundred seventy-four million, four hundred thirty-two thousand".