14799945600 has 864 divisors, whose sum is σ = 60356761920. Its totient is φ = 3446784000.

The previous prime is 14799945581. The next prime is 14799945649. The reversal of 14799945600 is 654999741.

It is a happy number.

14799945600 is a `hidden beast` number, since 1 + 4 + 79 + 9 + 9 + 4 + 560 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 108028732 + ... + 108028868.

Almost surely, 2^14799945600 is an apocalyptic number.

14799945600 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 14799945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178380960).

14799945600 is an abundant number, since it is smaller than the sum of its proper divisors (45556816320).

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

14799945600 is a wasteful number, since it uses less digits than its factorization.

14799945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 14799945600 in words is "fourteen billion, seven hundred ninety-nine million, nine hundred forty-five thousand, six hundred".