14097312645120 has 672 divisors, whose sum is σ = 51096664684800. Its totient is φ = 3686390562816.

The previous prime is 14097312645107. The next prime is 14097312645167. The reversal of 14097312645120 is 2154621379041.

14097312645120 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 7 + 3 + 126 + 4 + 512 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7502560341 + ... + 7502562219.

It is an arithmetic number, because the mean of its divisors is an integer number (76036703400).

Almost surely, 2^{14097312645120} is an apocalyptic number.

14097312645120 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 14097312645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25548332342400).

14097312645120 is an abundant number, since it is smaller than the sum of its proper divisors (36999352039680).

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

14097312645120 is an frugal number, since it uses more digits than its factorization.

14097312645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14097312645120 in words is "fourteen trillion, ninety-seven billion, three hundred twelve million, six hundred forty-five thousand, one hundred twenty".