313456656384 has 255 divisors, whose sum is σ = 940362729163. Its totient is φ = 104485552128.

The previous prime is 313456656379. The next prime is 313456656389. The reversal of 313456656384 is 483656654313.

The square root of 313456656384 is 559872.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)¹³.

313456656384 is a `hidden beast` number, since 3 + 13 + 4 + 5 + 66 + 563 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (313456656379) and next prime (313456656389).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

Its product of digits (18662400) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 313456656384.

It is not an unprimeable number, because it can be changed into a prime (313456656389) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 104485552127 + 104485552128 + 104485552129.

Almost surely, 2^313456656384 is an apocalyptic number.

313456656384 is the 559872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313456656384

313456656384 is an abundant number, since it is smaller than the sum of its proper divisors (626906072779).

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

313456656384 is an frugal number, since it uses more digits than its factorization.

313456656384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 5 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

Multiplying 313456656384 by its sum of digits (54), we get a 17-th power (16926659444736 = 6¹⁷).

The spelling of 313456656384 in words is "three hundred thirteen billion, four hundred fifty-six million, six hundred fifty-six thousand, three hundred eighty-four".