451822748160 has 960 divisors, whose sum is σ = 1800817311744. Its totient is φ = 94556160000.

The previous prime is 451822748131. The next prime is 451822748183. The reversal of 451822748160 is 61847228154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 601627785 + ... + 601628535.

Almost surely, 2^451822748160 is an apocalyptic number.

451822748160 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 451822748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900408655872).

451822748160 is an abundant number, since it is smaller than the sum of its proper divisors (1348994563584).

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

451822748160 is a wasteful number, since it uses less digits than its factorization.

451822748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 451822748160 in words is "four hundred fifty-one billion, eight hundred twenty-two million, seven hundred forty-eight thousand, one hundred sixty".