450031044672072 has 48 divisors (see below), whose sum is σ = 1263976082263440. Its totient is φ = 150010348223376.

The previous prime is 450031044672067. The next prime is 450031044672089. The reversal of 450031044672072 is 270276440130054.

450031044672072 is a `hidden beast` number, since 4 + 500 + 3 + 1 + 0 + 4 + 4 + 6 + 72 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115748723538 + ... + 115748727425.

It is an arithmetic number, because the mean of its divisors is an integer number (26332835047155).

Almost surely, 2^{450031044672072} is an apocalyptic number.

It is an amenable number.

450031044672072 is an abundant number, since it is smaller than the sum of its proper divisors (813945037591368).

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

450031044672072 is a wasteful number, since it uses less digits than its factorization.

450031044672072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231497450984 (or 231497450968 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 450031044672072 in words is "four hundred fifty trillion, thirty-one billion, forty-four million, six hundred seventy-two thousand, seventy-two".