13918065200 has 120 divisors (see below), whose sum is σ = 36150790368. Its totient is φ = 5118935040.

The previous prime is 13918065199. The next prime is 13918065211. The reversal of 13918065200 is 256081931.

It is a super-2 number, since 2×13918065200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362512 + ... + 1372688.

Almost surely, 2^13918065200 is an apocalyptic number.

13918065200 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 13918065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075395184).

13918065200 is an abundant number, since it is smaller than the sum of its proper divisors (22232725168).

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

13918065200 is a wasteful number, since it uses less digits than its factorization.

13918065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 13918065200 in words is "thirteen billion, nine hundred eighteen million, sixty-five thousand, two hundred".