313645134245520 has 320 divisors, whose sum is σ = 1222945679038464. Its totient is φ = 64596262133760.

The previous prime is 313645134245459. The next prime is 313645134245581. The reversal of 313645134245520 is 25542431546313.

It is an interprime number because it is at equal distance from previous prime (313645134245459) and next prime (313645134245581).

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 313645134245520.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73009722 + ... + 77186201.

Almost surely, 2^{313645134245520} is an apocalyptic number.

313645134245520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313645134245520 is an abundant number, since it is smaller than the sum of its proper divisors (909300544792944).

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

313645134245520 is a wasteful number, since it uses less digits than its factorization.

313645134245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150196070 (or 150196064 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 313645134245520 in words is "three hundred thirteen trillion, six hundred forty-five billion, one hundred thirty-four million, two hundred forty-five thousand, five hundred twenty".