14186119680 has 600 divisors, whose sum is σ = 53425237932. Its totient is φ = 3595124736.

The previous prime is 14186119669. The next prime is 14186119687. The reversal of 14186119680 is 8691168141.

It is a happy number.

14186119680 is a `hidden beast` number, since 14 + 18 + 611 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13841051904 + 345067776 = 117648^2 + 18576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14186119687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 329909739 + ... + 329909781.

Almost surely, 2^14186119680 is an apocalyptic number.

14186119680 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 14186119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712618966).

14186119680 is an abundant number, since it is smaller than the sum of its proper divisors (39239118252).

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

14186119680 is an frugal number, since it uses more digits than its factorization.

14186119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 14186119680 in words is "fourteen billion, one hundred eighty-six million, one hundred nineteen thousand, six hundred eighty".