455811501460800 has 504 divisors, whose sum is σ = 1603430351684064. Its totient is φ = 113330555944960.

The previous prime is 455811501460781. The next prime is 455811501460801. The reversal of 455811501460800 is 8064105118554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 455811501460800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455811501460801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146894962 + ... + 149965838.

Almost surely, 2^{455811501460800} is an apocalyptic number.

455811501460800 is a gapful number since it is divisible by the number (40) 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 455811501460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801715175842032).

455811501460800 is an abundant number, since it is smaller than the sum of its proper divisors (1147618850223264).

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

455811501460800 is a wasteful number, since it uses less digits than its factorization.

455811501460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071043 (or 3071011 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 455811501460800 in words is "four hundred fifty-five trillion, eight hundred eleven billion, five hundred one million, four hundred sixty thousand, eight hundred".