435457451664 has 135 divisors (see below), whose sum is σ = 1231190877033. Its totient is φ = 143676965376.

The previous prime is 435457451659. The next prime is 435457451687. The reversal of 435457451664 is 466154754534.

The square root of 435457451664 is 659892.

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

435457451664 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 574 + 5 + 1 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48832160400 + 386625291264 = 220980^2 + 621792^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 435457451664.

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 26 ways as a sum of consecutive naturals, for example, 1005675192 + ... + 1005675624.

Almost surely, 2^435457451664 is an apocalyptic number.

435457451664 is the 659892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435457451664

435457451664 is an abundant number, since it is smaller than the sum of its proper divisors (795733425369).

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

435457451664 is an equidigital number, since it uses as much as digits as its factorization.

435457451664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 565 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 435457451664 in words is "four hundred thirty-five billion, four hundred fifty-seven million, four hundred fifty-one thousand, six hundred sixty-four".