13973299200 has 1008 divisors, whose sum is σ = 61919876160. Its totient is φ = 3025797120.

The previous prime is 13973299183. The next prime is 13973299217. The reversal of 13973299200 is 299237931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13973299183) and next prime (13973299217).

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 735436791 + ... + 735436809.

Almost surely, 2^13973299200 is an apocalyptic number.

13973299200 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 13973299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959938080).

13973299200 is an abundant number, since it is smaller than the sum of its proper divisors (47946576960).

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

13973299200 is an equidigital number, since it uses as much as digits as its factorization.

13973299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 13973299200 in words is "thirteen billion, nine hundred seventy-three million, two hundred ninety-nine thousand, two hundred".