450027351122560 has 64 divisors (see below), whose sum is σ = 1076306206984200. Its totient is φ = 179934044958720.

The previous prime is 450027351122537. The next prime is 450027351122563. The reversal of 450027351122560 is 65221153720054.

It can be written as a sum of positive squares in 4 ways, for example, as 445787145323584 + 4240205798976 = 21113672^2 + 2059176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (450027351122563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148687095 + ... + 151683574.

Almost surely, 2^{450027351122560} is an apocalyptic number.

450027351122560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450027351122560 is an abundant number, since it is smaller than the sum of its proper divisors (626278855861640).

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

450027351122560 is a wasteful number, since it uses less digits than its factorization.

450027351122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300373029 (or 300373017 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 450027351122560 in words is "four hundred fifty trillion, twenty-seven billion, three hundred fifty-one million, one hundred twenty-two thousand, five hundred sixty".