14136760975680 has 1120 divisors, whose sum is σ = 61443601629696. Its totient is φ = 3011591798784.

The previous prime is 14136760975657. The next prime is 14136760975739. The reversal of 14136760975680 is 8657906763141.

14136760975680 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 6 + 7 + 60 + 9 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 317679192 + ... + 317723688.

Almost surely, 2^{14136760975680} is an apocalyptic number.

14136760975680 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 14136760975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30721800814848).

14136760975680 is an abundant number, since it is smaller than the sum of its proper divisors (47306840654016).

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

14136760975680 is a wasteful number, since it uses less digits than its factorization.

14136760975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44653 (or 44634 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 14136760975680 in words is "fourteen trillion, one hundred thirty-six billion, seven hundred sixty million, nine hundred seventy-five thousand, six hundred eighty".