13618890000 has 225 divisors, whose sum is σ = 47749975273. Its totient is φ = 3622368000.

The previous prime is 13618889989. The next prime is 13618890007. The reversal of 13618890000 is 9881631.

The square root of 13618890000 is 116700.

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 12949529616 + 669360384 = 113796^2 + 25872^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13618890007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35009806 + ... + 35010194.

Almost surely, 2^13618890000 is an apocalyptic number.

13618890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13618890000 is the 116700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13618890000

13618890000 is an abundant number, since it is smaller than the sum of its proper divisors (34131085273).

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

13618890000 is an frugal number, since it uses more digits than its factorization.

13618890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 13618890000 by its sum of digits (36), we get a square (490280040000 = 700200²).

13618890000 divided by its sum of digits (36) gives a square (378302500 = 19450²).

The spelling of 13618890000 in words is "thirteen billion, six hundred eighteen million, eight hundred ninety thousand".