313450664640 has 112 divisors (see below), whose sum is σ = 995818797792. Its totient is φ = 83535364096.

The previous prime is 313450664609. The next prime is 313450664651. The reversal of 313450664640 is 46466054313.

It is a junction number, because it is equal to n+sod(n) for n = 313450664592 and 313450664601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471792 + ... + 1671248.

It is an arithmetic number, because the mean of its divisors is an integer number (8891239266).

Almost surely, 2^313450664640 is an apocalyptic number.

313450664640 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 313450664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497909398896).

313450664640 is an abundant number, since it is smaller than the sum of its proper divisors (682368133152).

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

313450664640 is a wasteful number, since it uses less digits than its factorization.

313450664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201114 (or 201104 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 313450664640 in words is "three hundred thirteen billion, four hundred fifty million, six hundred sixty-four thousand, six hundred forty".