455970565728 has 144 divisors (see below), whose sum is σ = 1375264786896. Its totient is φ = 142807449600.

The previous prime is 455970565717. The next prime is 455970565733. The reversal of 455970565728 is 827565079554.

455970565728 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 7 + 0 + 56 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2824803 + ... + 2981853.

It is an arithmetic number, because the mean of its divisors is an integer number (9550449909).

Almost surely, 2^455970565728 is an apocalyptic number.

455970565728 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 455970565728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687632393448).

455970565728 is an abundant number, since it is smaller than the sum of its proper divisors (919294221168).

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

455970565728 is a wasteful number, since it uses less digits than its factorization.

455970565728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157677 (or 157666 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 455970565728 in words is "four hundred fifty-five billion, nine hundred seventy million, five hundred sixty-five thousand, seven hundred twenty-eight".