14164980180120 has 1280 divisors, whose sum is σ = 61366023290880. Its totient is φ = 2844093772800.

The previous prime is 14164980180119. The next prime is 14164980180139. The reversal of 14164980180120 is 2108108946141.

14164980180120 is a `hidden beast` number, since 1 + 416 + 49 + 8 + 0 + 180 + 12 + 0 = 666.

It is a super-3 number, since 3×14164980180120³ (a number of 40 digits) contains 333 as substring.

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 319 ways as a sum of consecutive naturals, for example, 8221113579 + ... + 8221115301.

It is an arithmetic number, because the mean of its divisors is an integer number (47942205696).

Almost surely, 2^{14164980180120} is an apocalyptic number.

14164980180120 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 14164980180120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683011645440).

14164980180120 is an abundant number, since it is smaller than the sum of its proper divisors (47201043110760).

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

14164980180120 is a wasteful number, since it uses less digits than its factorization.

14164980180120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 14164980180120 in words is "fourteen trillion, one hundred sixty-four billion, nine hundred eighty million, one hundred eighty thousand, one hundred twenty".