453821792256 has 952 divisors, whose sum is σ = 1650362146560. Its totient is φ = 121923698688.

The previous prime is 453821792239. The next prime is 453821792257. The reversal of 453821792256 is 652297128354.

453821792256 is a `hidden beast` number, since 4 + 5 + 382 + 1 + 7 + 9 + 2 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (453821792257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7691894755 + ... + 7691894813.

Almost surely, 2^453821792256 is an apocalyptic number.

453821792256 is a gapful number since it is divisible by the number (46) 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 453821792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825181073280).

453821792256 is an abundant number, since it is smaller than the sum of its proper divisors (1196540354304).

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

453821792256 is an frugal number, since it uses more digits than its factorization.

453821792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 453821792256 in words is "four hundred fifty-three billion, eight hundred twenty-one million, seven hundred ninety-two thousand, two hundred fifty-six".