13973568000 has 640 divisors, whose sum is σ = 54724640256. Its totient is φ = 3096576000.

The previous prime is 13973567987. The next prime is 13973568023. The reversal of 13973568000 is 86537931.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49727860 + ... + 49728140.

Almost surely, 2^13973568000 is an apocalyptic number.

13973568000 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 13973568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27362320128).

13973568000 is an abundant number, since it is smaller than the sum of its proper divisors (40751072256).

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

13973568000 is an equidigital number, since it uses as much as digits as its factorization.

13973568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 13973568000 in words is "thirteen billion, nine hundred seventy-three million, five hundred sixty-eight thousand".