514364364864 has 315 divisors, whose sum is σ = 1774921093407. Its totient is φ = 146857971456.

The previous prime is 514364364859. The next prime is 514364364889. The reversal of 514364364864 is 468463463415.

It is a happy number.

The square root of 514364364864 is 717192.

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

514364364864 is a `hidden beast` number, since 5 + 143 + 6 + 436 + 4 + 8 + 64 = 666.

It is a super-2 number, since 2×514364364864² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 514364364864.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 361464057 + ... + 361465479.

Almost surely, 2^514364364864 is an apocalyptic number.

514364364864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

514364364864 is the 717192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514364364864

514364364864 is an abundant number, since it is smaller than the sum of its proper divisors (1260556728543).

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

514364364864 is an frugal number, since it uses more digits than its factorization.

514364364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 1435 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 514364364864 in words is "five hundred fourteen billion, three hundred sixty-four million, three hundred sixty-four thousand, eight hundred sixty-four".