14116767966000 has 800 divisors, whose sum is σ = 58429165436928. Its totient is φ = 3218166028800.

The previous prime is 14116767965941. The next prime is 14116767966023. The reversal of 14116767966000 is 66976761141.

14116767966000 is a `hidden beast` number, since 14 + 1 + 16 + 7 + 6 + 7 + 9 + 6 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 434305749 + ... + 434338251.

Almost surely, 2^{14116767966000} is an apocalyptic number.

14116767966000 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 14116767966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29214582718464).

14116767966000 is an abundant number, since it is smaller than the sum of its proper divisors (44312397470928).

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

14116767966000 is a wasteful number, since it uses less digits than its factorization.

14116767966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32928 (or 32903 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 14116767966000 in words is "fourteen trillion, one hundred sixteen billion, seven hundred sixty-seven million, nine hundred sixty-six thousand".