13993472000 has 208 divisors, whose sum is σ = 35348948544. Its totient is φ = 5529600000.

The previous prime is 13993471979. The next prime is 13993472023. The reversal of 13993472000 is 27439931.

It is a super-2 number, since 2×13993472000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77311910 + ... + 77312090.

It is an arithmetic number, because the mean of its divisors is an integer number (169946868).

Almost surely, 2^13993472000 is an apocalyptic number.

13993472000 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 13993472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674474272).

13993472000 is an abundant number, since it is smaller than the sum of its proper divisors (21355476544).

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

13993472000 is an equidigital number, since it uses as much as digits as its factorization.

13993472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The spelling of 13993472000 in words is "thirteen billion, nine hundred ninety-three million, four hundred seventy-two thousand".