14678160120 has 256 divisors, whose sum is σ = 52804483200. Its totient is φ = 3605299200.

The previous prime is 14678160097. The next prime is 14678160121. The reversal of 14678160120 is 2106187641.

It is a happy number.

14678160120 is a `hidden beast` number, since 1 + 46 + 7 + 8 + 1 + 601 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14678160121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9167320 + ... + 9168920.

Almost surely, 2^14678160120 is an apocalyptic number.

14678160120 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 14678160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26402241600).

14678160120 is an abundant number, since it is smaller than the sum of its proper divisors (38126323080).

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

14678160120 is a wasteful number, since it uses less digits than its factorization.

14678160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14678160120 in words is "fourteen billion, six hundred seventy-eight million, one hundred sixty thousand, one hundred twenty".