315414014520 has 256 divisors, whose sum is σ = 1118407150080. Its totient is φ = 70292275200.

The previous prime is 315414014519. The next prime is 315414014521. The reversal of 315414014520 is 25410414513.

It is an interprime number because it is at equal distance from previous prime (315414014519) and next prime (315414014521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315414014521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 801480 + ... + 1128360.

It is an arithmetic number, because the mean of its divisors is an integer number (4368777930).

Almost surely, 2^315414014520 is an apocalyptic number.

315414014520 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 315414014520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559203575040).

315414014520 is an abundant number, since it is smaller than the sum of its proper divisors (802993135560).

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

315414014520 is a wasteful number, since it uses less digits than its factorization.

315414014520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326966 (or 326962 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 315414014520 in words is "three hundred fifteen billion, four hundred fourteen million, fourteen thousand, five hundred twenty".