455759711264 has 144 divisors (see below), whose sum is σ = 1066835193984. Its totient is φ = 190380664320.

The previous prime is 455759711257. The next prime is 455759711269. The reversal of 455759711264 is 462117957554.

It is a super-2 number, since 2×455759711264² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455759711269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11406329 + ... + 11446215.

It is an arithmetic number, because the mean of its divisors is an integer number (7408577736).

Almost surely, 2^455759711264 is an apocalyptic number.

455759711264 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 455759711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533417596992).

455759711264 is an abundant number, since it is smaller than the sum of its proper divisors (611075482720).

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

455759711264 is a wasteful number, since it uses less digits than its factorization.

455759711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40159 (or 40140 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 56.

The spelling of 455759711264 in words is "four hundred fifty-five billion, seven hundred fifty-nine million, seven hundred eleven thousand, two hundred sixty-four".