450984774916 has 81 divisors (see below), whose sum is σ = 894171189429. Its totient is φ = 198919667232.

The previous prime is 450984774899. The next prime is 450984774979. The reversal of 450984774916 is 619477489054.

The square root of 450984774916 is 671554.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66713724100 + 384271050816 = 258290^2 + 619896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 401588731 + ... + 401589853.

Almost surely, 2^450984774916 is an apocalyptic number.

450984774916 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

450984774916 is the 671554-th square number.

It is an amenable number.

450984774916 is a deficient number, since it is larger than the sum of its proper divisors (443186414513).

450984774916 is a wasteful number, since it uses less digits than its factorization.

450984774916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 450984774916 by its sum of digits (64), we get a square (28863025594624 = 5372432²).

The spelling of 450984774916 in words is "four hundred fifty billion, nine hundred eighty-four million, seven hundred seventy-four thousand, nine hundred sixteen".