16382976016 has 45 divisors (see below), whose sum is σ = 34901982493. Its totient is φ = 7444247360.

The previous prime is 16382976013. The next prime is 16382976023. The reversal of 16382976016 is 61067928361.

The square root of 16382976016 is 127996.

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., 14207686416 + 2175289600 = 119196^2 + 46640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16382976013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5630370 + ... + 5633278.

Almost surely, 2^16382976016 is an apocalyptic number.

16382976016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16382976016 is the 127996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16382976016

16382976016 is an abundant number, since it is smaller than the sum of its proper divisors (18519006477).

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

16382976016 is an frugal number, since it uses more digits than its factorization.

16382976016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 16382976016 by its sum of digits (49), we get a square (802765824784 = 895972²).

The spelling of 16382976016 in words is "sixteen billion, three hundred eighty-two million, nine hundred seventy-six thousand, sixteen".