450117601772 has 96 divisors (see below), whose sum is σ = 839169289728. Its totient is φ = 210974400000.

The previous prime is 450117601771. The next prime is 450117601789. The reversal of 450117601772 is 277106711054.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (450117601771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345977522 + ... + 345978822.

It is an arithmetic number, because the mean of its divisors is an integer number (8741346768).

Almost surely, 2^450117601772 is an apocalyptic number.

It is an amenable number.

450117601772 is a deficient number, since it is larger than the sum of its proper divisors (389051687956).

450117601772 is a wasteful number, since it uses less digits than its factorization.

450117601772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 450117601772 in words is "four hundred fifty billion, one hundred seventeen million, six hundred one thousand, seven hundred seventy-two".