455584964688 has 120 divisors (see below), whose sum is σ = 1458049589568. Its totient is φ = 130086660096.

The previous prime is 455584964677. The next prime is 455584964711. The reversal of 455584964688 is 886469485554.

455584964688 is a `hidden beast` number, since 4 + 5 + 5 + 58 + 496 + 4 + 6 + 88 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1501120 + ... + 1778912.

Almost surely, 2^455584964688 is an apocalyptic number.

455584964688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455584964688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729024794784).

455584964688 is an abundant number, since it is smaller than the sum of its proper divisors (1002464624880).

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

455584964688 is a wasteful number, since it uses less digits than its factorization.

455584964688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279441 (or 279432 counting only the distinct ones).

The product of its digits is 1327104000, while the sum is 72.

The spelling of 455584964688 in words is "four hundred fifty-five billion, five hundred eighty-four million, nine hundred sixty-four thousand, six hundred eighty-eight".