455757388812 has 288 divisors, whose sum is σ = 1400438108160. Its totient is φ = 123431616000.

The previous prime is 455757388811. The next prime is 455757388813. The reversal of 455757388812 is 218883757554.

455757388812 is a `hidden beast` number, since 4 + 5 + 57 + 573 + 8 + 8 + 8 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (455757388811) and next prime (455757388813).

It is a self number, because there is not a number n which added to its sum of digits gives 455757388812.

It is not an unprimeable number, because it can be changed into a prime (455757388811) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8160262 + ... + 8215922.

It is an arithmetic number, because the mean of its divisors is an integer number (4862632320).

Almost surely, 2^455757388812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455757388812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700219054080).

455757388812 is an abundant number, since it is smaller than the sum of its proper divisors (944680719348).

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

455757388812 is a wasteful number, since it uses less digits than its factorization.

455757388812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55765 (or 55760 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 63.

The spelling of 455757388812 in words is "four hundred fifty-five billion, seven hundred fifty-seven million, three hundred eighty-eight thousand, eight hundred twelve".