315034412354000 has 160 divisors (see below), whose sum is σ = 762355234892160. Its totient is φ = 125914212864000.

The previous prime is 315034412353939. The next prime is 315034412354021. The reversal of 315034412354000 is 453214430513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17931257216 + ... + 17931274784.

It is an arithmetic number, because the mean of its divisors is an integer number (4764720218076).

Almost surely, 2^{315034412354000} 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 315034412354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381177617446080).

315034412354000 is an abundant number, since it is smaller than the sum of its proper divisors (447320822538160).

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

315034412354000 is a wasteful number, since it uses less digits than its factorization.

315034412354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24166 (or 24150 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 315034412354000 its reverse (453214430513), we get a palindrome (315487626784513).

The spelling of 315034412354000 in words is "three hundred fifteen trillion, thirty-four billion, four hundred twelve million, three hundred fifty-four thousand".