14274891414000 has 320 divisors, whose sum is σ = 58440953825280. Its totient is φ = 3262832236800.

The previous prime is 14274891413989. The next prime is 14274891414041. The reversal of 14274891414000 is 41419847241.

14274891414000 is a `hidden beast` number, since 1 + 4 + 27 + 4 + 89 + 141 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18504132 + ... + 19260131.

It is an arithmetic number, because the mean of its divisors is an integer number (182627980704).

Almost surely, 2^{14274891414000} is an apocalyptic number.

14274891414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14274891414000 is an abundant number, since it is smaller than the sum of its proper divisors (44166062411280).

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

14274891414000 is a wasteful number, since it uses less digits than its factorization.

14274891414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37764302 (or 37764280 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14274891414000 in words is "fourteen trillion, two hundred seventy-four billion, eight hundred ninety-one million, four hundred fourteen thousand".