315046411416 has 128 divisors (see below), whose sum is σ = 1010844230400. Its totient is φ = 89852797440.

The previous prime is 315046411327. The next prime is 315046411423. The reversal of 315046411416 is 614114640513.

315046411416 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 4 + 641 + 1 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3859470 + ... + 3940253.

It is an arithmetic number, because the mean of its divisors is an integer number (7897220550).

Almost surely, 2^315046411416 is an apocalyptic number.

315046411416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

315046411416 is an abundant number, since it is smaller than the sum of its proper divisors (695797818984).

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

315046411416 is a wasteful number, since it uses less digits than its factorization.

315046411416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799766 (or 7799756 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 315046411416 in words is "three hundred fifteen billion, forty-six million, four hundred eleven thousand, four hundred sixteen".