453631291344 has 480 divisors, whose sum is σ = 1620098688000. Its totient is φ = 117462078720.

The previous prime is 453631291313. The next prime is 453631291417. The reversal of 453631291344 is 443192136354.

453631291344 is a `hidden beast` number, since 4 + 5 + 3 + 631 + 2 + 9 + 1 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 453631291344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205914147 + ... + 205916349.

It is an arithmetic number, because the mean of its divisors is an integer number (3375205600).

Almost surely, 2^453631291344 is an apocalyptic number.

453631291344 is a gapful number since it is divisible by the number (44) 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 453631291344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810049344000).

453631291344 is an abundant number, since it is smaller than the sum of its proper divisors (1166467396656).

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

453631291344 is a wasteful number, since it uses less digits than its factorization.

453631291344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2605 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 453631291344 in words is "four hundred fifty-three billion, six hundred thirty-one million, two hundred ninety-one thousand, three hundred forty-four".