450317146620264 has 128 divisors (see below), whose sum is σ = 1410710714265600. Its totient is φ = 116371759069440.

The previous prime is 450317146620259. The next prime is 450317146620301. The reversal of 450317146620264 is 462026641713054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618108304 + ... + 618836415.

It is an arithmetic number, because the mean of its divisors is an integer number (11021177455200).

Almost surely, 2^{450317146620264} is an apocalyptic number.

450317146620264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

450317146620264 is an abundant number, since it is smaller than the sum of its proper divisors (960393567645336).

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

450317146620264 is a wasteful number, since it uses less digits than its factorization.

450317146620264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236944943 (or 1236944939 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 450317146620264 in words is "four hundred fifty trillion, three hundred seventeen billion, one hundred forty-six million, six hundred twenty thousand, two hundred sixty-four".