453863106144 has 864 divisors, whose sum is σ = 1656991365120. Its totient is φ = 119501319168.

The previous prime is 453863106143. The next prime is 453863106161. The reversal of 453863106144 is 441601368354.

453863106144 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 631 + 0 + 6 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 453863106144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453863106143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 980265657 + ... + 980266119.

It is an arithmetic number, because the mean of its divisors is an integer number (1917814080).

Almost surely, 2^453863106144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453863106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828495682560).

453863106144 is an abundant number, since it is smaller than the sum of its proper divisors (1203128258976).

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

453863106144 is an equidigital number, since it uses as much as digits as its factorization.

453863106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 453863106144 in words is "four hundred fifty-three billion, eight hundred sixty-three million, one hundred six thousand, one hundred forty-four".