14949328896000 has 3360 divisors, whose sum is σ = 64362650526720. Its totient is φ = 3439853568000.

The previous prime is 14949328895987. The next prime is 14949328896059. The reversal of 14949328896000 is 69882394941.

14949328896000 is a `hidden beast` number, since 1 + 4 + 9 + 493 + 2 + 8 + 89 + 60 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 482236415985 + ... + 482236416015.

It is an arithmetic number, because the mean of its divisors is an integer number (19155550752).

Almost surely, 2^{14949328896000} is an apocalyptic number.

14949328896000 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 14949328896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32181325263360).

14949328896000 is an abundant number, since it is smaller than the sum of its proper divisors (49413321630720).

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

14949328896000 is an frugal number, since it uses more digits than its factorization.

14949328896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 14949328896000 in words is "fourteen trillion, nine hundred forty-nine billion, three hundred twenty-eight million, eight hundred ninety-six thousand".