14491125861264 has 640 divisors, whose sum is σ = 47929132339200. Its totient is φ = 4157896458240.

The previous prime is 14491125861259. The next prime is 14491125861281. The reversal of 14491125861264 is 46216852119441.

It is a happy number.

14491125861264 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 1 + 12 + 5 + 8 + 612 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14491125861264.

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 127 ways as a sum of consecutive naturals, for example, 2812170112 + ... + 2812175264.

It is an arithmetic number, because the mean of its divisors is an integer number (74889269280).

Almost surely, 2^{14491125861264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14491125861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964566169600).

14491125861264 is an abundant number, since it is smaller than the sum of its proper divisors (33438006477936).

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

14491125861264 is a wasteful number, since it uses less digits than its factorization.

14491125861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5788 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 14491125861264 in words is "fourteen trillion, four hundred ninety-one billion, one hundred twenty-five million, eight hundred sixty-one thousand, two hundred sixty-four".