12816614800900 has 81 divisors (see below), whose sum is σ = 29545695778879. Its totient is φ = 4824849391360.

The previous prime is 12816614800897. The next prime is 12816614800907. The reversal of 12816614800900 is 900841661821.

The square root of 12816614800900 is 3580030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 299793481156 + 12516821319744 = 547534^2 + 3537912^2 .

It is a super-2 number, since 2×12816614800900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12816614800907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 608594571 + ... + 608615629.

Almost surely, 2^{12816614800900} is an apocalyptic number.

12816614800900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12816614800900 is the 3580030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12816614800900

12816614800900 is an abundant number, since it is smaller than the sum of its proper divisors (16729080977979).

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

12816614800900 is an frugal number, since it uses more digits than its factorization.

12816614800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42166 (or 21083 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 12816614800900 in words is "twelve trillion, eight hundred sixteen billion, six hundred fourteen million, eight hundred thousand, nine hundred".