453847552104960 has 1280 divisors, whose sum is σ = 1751976666316800. Its totient is φ = 110697736568832.

The previous prime is 453847552104941. The next prime is 453847552105037. The reversal of 453847552104960 is 69401255748354.

It is a happy number.

453847552104960 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 4 + 7 + 5 + 521 + 0 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113774766646 + ... + 113774770634.

It is an arithmetic number, because the mean of its divisors is an integer number (1368731770560).

It is a 1-persistent number, because it is pandigital, but 2⋅453847552104960 = 907695104209920 is not.

Almost surely, 2^{453847552104960} is an apocalyptic number.

453847552104960 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 453847552104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875988333158400).

453847552104960 is an abundant number, since it is smaller than the sum of its proper divisors (1298129114211840).

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

453847552104960 is a wasteful number, since it uses less digits than its factorization.

453847552104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 453847552104960 in words is "four hundred fifty-three trillion, eight hundred forty-seven billion, five hundred fifty-two million, one hundred four thousand, nine hundred sixty".