14994201600 has 660 divisors, whose sum is σ = 63514872784. Its totient is φ = 3423928320.

The previous prime is 14994201587. The next prime is 14994201623. The reversal of 14994201600 is 610249941.

It is a happy number.

14994201600 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 42 + 0 + 1 + 600 = 666.

14994201600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14514684 + ... + 14515716.

Almost surely, 2^14994201600 is an apocalyptic number.

14994201600 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 14994201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31757436392).

14994201600 is an abundant number, since it is smaller than the sum of its proper divisors (48520671184).

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

14994201600 is a wasteful number, since it uses less digits than its factorization.

14994201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14994201600 in words is "fourteen billion, nine hundred ninety-four million, two hundred one thousand, six hundred".