13604889600 has 429 divisors, whose sum is σ = 50585445577. Its totient is φ = 3627970560.

The previous prime is 13604889593. The next prime is 13604889601. The reversal of 13604889600 is 698840631.

The square root of 13604889600 is 116640.

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

13604889600 is a `hidden beast` number, since 1 + 36 + 0 + 4 + 8 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4897760256 + 8707129344 = 69984^2 + 93312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13604889601) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 2720977918 + ... + 2720977922.

Almost surely, 2^13604889600 is an apocalyptic number.

13604889600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13604889600 is the 116640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13604889600

13604889600 is an abundant number, since it is smaller than the sum of its proper divisors (36980555977).

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

13604889600 is an frugal number, since it uses more digits than its factorization.

13604889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13604889600 in words is "thirteen billion, six hundred four million, eight hundred eighty-nine thousand, six hundred".