450693237456 has 160 divisors (see below), whose sum is σ = 1612870579200. Its totient is φ = 117063169920.

The previous prime is 450693237383. The next prime is 450693237457. The reversal of 450693237456 is 654732396054.

450693237456 is a `hidden beast` number, since 4 + 506 + 93 + 2 + 3 + 7 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450693237457) 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, 6741226 + ... + 6807753.

It is an arithmetic number, because the mean of its divisors is an integer number (10080441120).

Almost surely, 2^450693237456 is an apocalyptic number.

It is an amenable number.

450693237456 is an abundant number, since it is smaller than the sum of its proper divisors (1162177341744).

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

450693237456 is a wasteful number, since it uses less digits than its factorization.

450693237456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549014 (or 13549002 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 450693237456 in words is "four hundred fifty billion, six hundred ninety-three million, two hundred thirty-seven thousand, four hundred fifty-six".