315479349120 has 384 divisors, whose sum is σ = 1132122569760. Its totient is φ = 74276978688.

The previous prime is 315479349109. The next prime is 315479349127. The reversal of 315479349120 is 21943974513.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 315479349120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315479349127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13191894 + ... + 13215786.

Almost surely, 2^315479349120 is an apocalyptic number.

315479349120 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 315479349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566061284880).

315479349120 is an abundant number, since it is smaller than the sum of its proper divisors (816643220640).

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

315479349120 is a wasteful number, since it uses less digits than its factorization.

315479349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23974 (or 23939 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 315479349120 in words is "three hundred fifteen billion, four hundred seventy-nine million, three hundred forty-nine thousand, one hundred twenty".