453475913304960 has 3072 divisors, whose sum is σ = 2118785126400000. Its totient is φ = 89489295507456.

The previous prime is 453475913304893. The next prime is 453475913304983. The reversal of 453475913304960 is 69403319574354.

453475913304960 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 7 + 5 + 9 + 133 + 0 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30683794851 + ... + 30683809629.

It is an arithmetic number, because the mean of its divisors is an integer number (689708700000).

Almost surely, 2^{453475913304960} is an apocalyptic number.

453475913304960 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 453475913304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059392563200000).

453475913304960 is an abundant number, since it is smaller than the sum of its proper divisors (1665309213095040).

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

453475913304960 is a wasteful number, since it uses less digits than its factorization.

453475913304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 453475913304960 in words is "four hundred fifty-three trillion, four hundred seventy-five billion, nine hundred thirteen million, three hundred four thousand, nine hundred sixty".