453216825600 has 1944 divisors, whose sum is σ = 2008420827840. Its totient is φ = 87994368000.

The previous prime is 453216825599. The next prime is 453216825619. The reversal of 453216825600 is 6528612354.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 14619897585 + ... + 14619897615.

Almost surely, 2^453216825600 is an apocalyptic number.

453216825600 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 453216825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004210413920).

453216825600 is an abundant number, since it is smaller than the sum of its proper divisors (1555204002240).

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

453216825600 is a wasteful number, since it uses less digits than its factorization.

453216825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 453216825600 in words is "four hundred fifty-three billion, two hundred sixteen million, eight hundred twenty-five thousand, six hundred".