313746921264 has 320 divisors, whose sum is σ = 990514380800. Its totient is φ = 83584410624.

The previous prime is 313746921239. The next prime is 313746921329. The reversal of 313746921264 is 462129647313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 200220609 + ... + 200222175.

It is an arithmetic number, because the mean of its divisors is an integer number (3095357440).

Almost surely, 2^313746921264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313746921264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495257190400).

313746921264 is an abundant number, since it is smaller than the sum of its proper divisors (676767459536).

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

313746921264 is a wasteful number, since it uses less digits than its factorization.

313746921264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 313746921264 in words is "three hundred thirteen billion, seven hundred forty-six million, nine hundred twenty-one thousand, two hundred sixty-four".