14991116439600 has 1440 divisors, whose sum is σ = 68721206561280. Its totient is φ = 3055199109120.

The previous prime is 14991116439599. The next prime is 14991116439707. The reversal of 14991116439600 is 693461119941.

14991116439600 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 11 + 16 + 4 + 3 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 219735094 + ... + 219803306.

It is an arithmetic number, because the mean of its divisors is an integer number (47723060112).

Almost surely, 2^{14991116439600} is an apocalyptic number.

14991116439600 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 14991116439600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34360603280640).

14991116439600 is an abundant number, since it is smaller than the sum of its proper divisors (53730090121680).

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

14991116439600 is a wasteful number, since it uses less digits than its factorization.

14991116439600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68289 (or 68266 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 14991116439600 in words is "fourteen trillion, nine hundred ninety-one billion, one hundred sixteen million, four hundred thirty-nine thousand, six hundred".