16314441984 has 135 divisors (see below), whose sum is σ = 48701619967. Its totient is φ = 5432016384.

The previous prime is 16314441977. The next prime is 16314442007. The reversal of 16314441984 is 48914441361.

The square root of 16314441984 is 127728.

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

16314441984 is a `hidden beast` number, since 1 + 631 + 4 + 4 + 4 + 1 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×16314441984² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 14 ways as a sum of consecutive naturals, for example, 18392389 + ... + 18393275.

Almost surely, 2^16314441984 is an apocalyptic number.

16314441984 is the 127728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16314441984

16314441984 is an abundant number, since it is smaller than the sum of its proper divisors (32387177983).

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

16314441984 is an frugal number, since it uses more digits than its factorization.

16314441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 892 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 16314441984 in words is "sixteen billion, three hundred fourteen million, four hundred forty-one thousand, nine hundred eighty-four".