2314682302464 has 459 divisors, whose sum is σ = 7806115986903. Its totient is φ = 659000918016.

The previous prime is 2314682302349. The next prime is 2314682302487. The reversal of 2314682302464 is 4642032864132.

The square root of 2314682302464 is 1521408.

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

2314682302464 is a `hidden beast` number, since 2 + 314 + 68 + 2 + 30 + 246 + 4 = 666.

It is a super-2 number, since 2×2314682302464² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8179089267 + ... + 8179089549.

Almost surely, 2^{2314682302464} is an apocalyptic number.

2314682302464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2314682302464 is the 1521408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314682302464

2314682302464 is an abundant number, since it is smaller than the sum of its proper divisors (5491433684439).

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

2314682302464 is an frugal number, since it uses more digits than its factorization.

2314682302464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2314682302464 in words is "two trillion, three hundred fourteen billion, six hundred eighty-two million, three hundred two thousand, four hundred sixty-four".