14876421421680 has 960 divisors, whose sum is σ = 65930740162560. Its totient is φ = 2916717133824.

The previous prime is 14876421421643. The next prime is 14876421421751. The reversal of 14876421421680 is 8612412467841.

14876421421680 is a `hidden beast` number, since 1 + 4 + 87 + 64 + 2 + 1 + 421 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87908829 + ... + 88077891.

It is an arithmetic number, because the mean of its divisors is an integer number (68677854336).

Almost surely, 2^{14876421421680} is an apocalyptic number.

14876421421680 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 14876421421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965370081280).

14876421421680 is an abundant number, since it is smaller than the sum of its proper divisors (51054318740880).

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

14876421421680 is a wasteful number, since it uses less digits than its factorization.

14876421421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169198 (or 169189 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14876421421680 in words is "fourteen trillion, eight hundred seventy-six billion, four hundred twenty-one million, four hundred twenty-one thousand, six hundred eighty".