13687814700 has 576 divisors, whose sum is σ = 54129868800. Its totient is φ = 2897337600.

The previous prime is 13687814677. The next prime is 13687814713. The reversal of 13687814700 is 741878631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16877295 + ... + 16878105.

Almost surely, 2^13687814700 is an apocalyptic number.

13687814700 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 13687814700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27064934400).

13687814700 is an abundant number, since it is smaller than the sum of its proper divisors (40442054100).

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

13687814700 is a wasteful number, since it uses less digits than its factorization.

13687814700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13687814700 in words is "thirteen billion, six hundred eighty-seven million, eight hundred fourteen thousand, seven hundred".