13874319360 has 416 divisors, whose sum is σ = 53832562560. Its totient is φ = 3361996800.

The previous prime is 13874319317. The next prime is 13874319401. The reversal of 13874319360 is 6391347831.

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, 6081420 + ... + 6083700.

Almost surely, 2^13874319360 is an apocalyptic number.

13874319360 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 13874319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916281280).

13874319360 is an abundant number, since it is smaller than the sum of its proper divisors (39958243200).

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

13874319360 is a wasteful number, since it uses less digits than its factorization.

13874319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13874319360 in words is "thirteen billion, eight hundred seventy-four million, three hundred nineteen thousand, three hundred sixty".