313715672617440 has 48 divisors (see below), whose sum is σ = 988204368746448. Its totient is φ = 83657512697856.

The previous prime is 313715672617433. The next prime is 313715672617447. The reversal of 313715672617440 is 44716276517313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313715672617433) and next prime (313715672617447).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313715672617447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 326787158497 + ... + 326787159456.

It is an arithmetic number, because the mean of its divisors is an integer number (20587591015551).

Almost surely, 2^{313715672617440} is an apocalyptic number.

313715672617440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313715672617440 is an abundant number, since it is smaller than the sum of its proper divisors (674488696129008).

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

313715672617440 is a wasteful number, since it uses less digits than its factorization.

313715672617440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653574317971 (or 653574317963 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 313715672617440 in words is "three hundred thirteen trillion, seven hundred fifteen billion, six hundred seventy-two million, six hundred seventeen thousand, four hundred forty".