13650318400 has 84 divisors (see below), whose sum is σ = 33664893300. Its totient is φ = 5447680000.

The previous prime is 13650318397. The next prime is 13650318401. The reversal of 13650318400 is 481305631.

It can be written as a sum of positive squares in 6 ways, for example, as 1021953024 + 12628365376 = 31968^2 + 112376^2 .

It is not an unprimeable number, because it can be changed into a prime (13650318401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708900 + ... + 727900.

Almost surely, 2^13650318400 is an apocalyptic number.

13650318400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13650318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832446650).

13650318400 is an abundant number, since it is smaller than the sum of its proper divisors (20014574900).

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

13650318400 is a wasteful number, since it uses less digits than its factorization.

13650318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19472 (or 19457 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 13650318400 in words is "thirteen billion, six hundred fifty million, three hundred eighteen thousand, four hundred".