13973731200 has 1440 divisors, whose sum is σ = 63014549400. Its totient is φ = 3019161600.

The previous prime is 13973731183. The next prime is 13973731217. The reversal of 13973731200 is 213737931.

13973731200 is a `hidden beast` number, since 1 + 397 + 37 + 31 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (13973731183) and next prime (13973731217).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 481852786 + ... + 481852814.

Almost surely, 2^13973731200 is an apocalyptic number.

13973731200 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 13973731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31507274700).

13973731200 is an abundant number, since it is smaller than the sum of its proper divisors (49040818200).

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

13973731200 is a wasteful number, since it uses less digits than its factorization.

13973731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 13973731200 in words is "thirteen billion, nine hundred seventy-three million, seven hundred thirty-one thousand, two hundred".