455039105664 has 256 divisors, whose sum is σ = 1424542412160. Its totient is φ = 126877286400.

The previous prime is 455039105639. The next prime is 455039105683. The reversal of 455039105664 is 466501930554.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17394034 + ... + 17420174.

Almost surely, 2^455039105664 is an apocalyptic number.

455039105664 is a gapful number since it is divisible by the number (44) 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 455039105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712271206080).

455039105664 is an abundant number, since it is smaller than the sum of its proper divisors (969503306496).

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

455039105664 is a wasteful number, since it uses less digits than its factorization.

455039105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26499 (or 26487 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 455039105664 in words is "four hundred fifty-five billion, thirty-nine million, one hundred five thousand, six hundred sixty-four".