13649248900 has 81 divisors (see below), whose sum is σ = 34475260239. Its totient is φ = 4676938560.

The previous prime is 13649248889. The next prime is 13649248909. The reversal of 13649248900 is 984294631.

The square root of 13649248900 is 116830.

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 159820164 + 13489428736 = 12642^2 + 116144^2 .

It is not an unprimeable number, because it can be changed into a prime (13649248909) 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, 8177266 + ... + 8178934.

Almost surely, 2^13649248900 is an apocalyptic number.

13649248900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13649248900 is the 116830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13649248900

13649248900 is an abundant number, since it is smaller than the sum of its proper divisors (20826011339).

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

13649248900 is an equidigital number, since it uses as much as digits as its factorization.

13649248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 13649248900 in words is "thirteen billion, six hundred forty-nine million, two hundred forty-eight thousand, nine hundred".