13986741600 has 864 divisors, whose sum is σ = 56814488640. Its totient is φ = 3211591680.

The previous prime is 13986741589. The next prime is 13986741641. The reversal of 13986741600 is 614768931.

It is a happy number.

13986741600 is a `hidden beast` number, since 1 + 39 + 8 + 6 + 7 + 4 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157154356 + ... + 157154444.

It is an arithmetic number, because the mean of its divisors is an integer number (65757510).

Almost surely, 2^13986741600 is an apocalyptic number.

13986741600 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 13986741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28407244320).

13986741600 is an abundant number, since it is smaller than the sum of its proper divisors (42827747040).

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

13986741600 is a wasteful number, since it uses less digits than its factorization.

13986741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13986741600 in words is "thirteen billion, nine hundred eighty-six million, seven hundred forty-one thousand, six hundred".