14136874699200 has 672 divisors, whose sum is σ = 53700795905280. Its totient is φ = 3246718464000.

The previous prime is 14136874699151. The next prime is 14136874699249. The reversal of 14136874699200 is 299647863141.

It is an interprime number because it is at equal distance from previous prime (14136874699151) and next prime (14136874699249).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121328970 + ... + 121445430.

Almost surely, 2^{14136874699200} is an apocalyptic number.

14136874699200 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 14136874699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26850397952640).

14136874699200 is an abundant number, since it is smaller than the sum of its proper divisors (39563921206080).

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

14136874699200 is a wasteful number, since it uses less digits than its factorization.

14136874699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116538 (or 116501 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 14136874699200 in words is "fourteen trillion, one hundred thirty-six billion, eight hundred seventy-four million, six hundred ninety-nine thousand, two hundred".