13946496000 has 176 divisors, whose sum is σ = 46392552960. Its totient is φ = 3718963200.

The previous prime is 13946495987. The next prime is 13946496001. The reversal of 13946496000 is 69464931.

It is not an unprimeable number, because it can be changed into a prime (13946496001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365841 + ... + 402159.

Almost surely, 2^13946496000 is an apocalyptic number.

13946496000 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 13946496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23196276480).

13946496000 is an abundant number, since it is smaller than the sum of its proper divisors (32446056960).

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

13946496000 is an equidigital number, since it uses as much as digits as its factorization.

13946496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36357 (or 36329 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 13946496000 in words is "thirteen billion, nine hundred forty-six million, four hundred ninety-six thousand".