16739472132100 has 243 divisors, whose sum is σ = 39618686437309. Its totient is φ = 6137739622400.

The previous prime is 16739472132079. The next prime is 16739472132113. The reversal of 16739472132100 is 123127493761.

The square root of 16739472132100 is 4091390.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14495396227524 + 2244075904576 = 3807282^2 + 1498024^2 .

It is a super-2 number, since 2×16739472132100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 28516988007 + ... + 28516988593.

Almost surely, 2^{16739472132100} is an apocalyptic number.

16739472132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16739472132100 is the 4091390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16739472132100

16739472132100 is an abundant number, since it is smaller than the sum of its proper divisors (22879214305209).

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

16739472132100 is an equidigital number, since it uses as much as digits as its factorization.

16739472132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 16739472132100 in words is "sixteen trillion, seven hundred thirty-nine billion, four hundred seventy-two million, one hundred thirty-two thousand, one hundred".