459673152064 has 63 divisors (see below), whose sum is σ = 1061176281123. Its totient is φ = 196986507648.

The previous prime is 459673152049. The next prime is 459673152097. The reversal of 459673152064 is 460251376954.

The square root of 459673152064 is 677992.

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

It is a super-2 number, since 2×459673152064² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37961499 + ... + 37973605.

Almost surely, 2^459673152064 is an apocalyptic number.

459673152064 is the 677992-nd square number.

It is an amenable number.

459673152064 is an abundant number, since it is smaller than the sum of its proper divisors (601503129059).

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

459673152064 is an frugal number, since it uses more digits than its factorization.

459673152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24240 (or 12116 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 459673152064 in words is "four hundred fifty-nine billion, six hundred seventy-three million, one hundred fifty-two thousand, sixty-four".