13683574080 has 224 divisors, whose sum is σ = 52661393280. Its totient is φ = 3317207040.

The previous prime is 13683574067. The next prime is 13683574097. The reversal of 13683574080 is 8047538631.

13683574080 is a `hidden beast` number, since 13 + 68 + 3 + 574 + 0 + 8 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 23052 + ... + 167028.

Almost surely, 2^13683574080 is an apocalyptic number.

13683574080 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 13683574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26330696640).

13683574080 is an abundant number, since it is smaller than the sum of its proper divisors (38977819200).

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

13683574080 is a wasteful number, since it uses less digits than its factorization.

13683574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144014 (or 143998 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13683574080 in words is "thirteen billion, six hundred eighty-three million, five hundred seventy-four thousand, eighty".