14115816100 has 45 divisors (see below), whose sum is σ = 30914944277. Its totient is φ = 5594525280.

The previous prime is 14115816097. The next prime is 14115816131. The reversal of 14115816100 is 161851141.

The square root of 14115816100 is 118810.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3513407076 + 10602409024 = 59274^2 + 102968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 129502846 + ... + 129502954.

Almost surely, 2^14115816100 is an apocalyptic number.

14115816100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14115816100 is the 118810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115816100

14115816100 is an abundant number, since it is smaller than the sum of its proper divisors (16799128177).

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

14115816100 is an frugal number, since it uses more digits than its factorization.

14115816100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 28.

The spelling of 14115816100 in words is "fourteen billion, one hundred fifteen million, eight hundred sixteen thousand, one hundred".