315332350010460 has 288 divisors, whose sum is σ = 1011207320428032. Its totient is φ = 79433902817280.

The previous prime is 315332350010459. The next prime is 315332350010501. The reversal of 315332350010460 is 64010053233513.

315332350010460 is a `hidden beast` number, since 3 + 1 + 53 + 32 + 3 + 500 + 10 + 4 + 60 = 666.

It is a super-3 number, since 3×315332350010460³ (a number of 44 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35521642 + ... + 43502318.

It is an arithmetic number, because the mean of its divisors is an integer number (3511136529264).

Almost surely, 2^{315332350010460} is an apocalyptic number.

315332350010460 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 315332350010460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505603660214016).

315332350010460 is an abundant number, since it is smaller than the sum of its proper divisors (695874970417572).

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

315332350010460 is a wasteful number, since it uses less digits than its factorization.

315332350010460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980893 (or 7980888 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 315332350010460 in words is "three hundred fifteen trillion, three hundred thirty-two billion, three hundred fifty million, ten thousand, four hundred sixty".