450456536146320 has 480 divisors, whose sum is σ = 1714395468524544. Its totient is φ = 105005829427200.

The previous prime is 450456536146301. The next prime is 450456536146343. The reversal of 450456536146320 is 23641635654054.

450456536146320 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 56 + 53 + 61 + 463 + 20 = 666.

It is a super-2 number, since 2×450456536146320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32703634 + ... + 44389646.

Almost surely, 2^{450456536146320} is an apocalyptic number.

450456536146320 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 450456536146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857197734262272).

450456536146320 is an abundant number, since it is smaller than the sum of its proper divisors (1263938932378224).

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

450456536146320 is a wasteful number, since it uses less digits than its factorization.

450456536146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686231 (or 11686222 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 450456536146320 in words is "four hundred fifty trillion, four hundred fifty-six billion, five hundred thirty-six million, one hundred forty-six thousand, three hundred twenty".