14136111864 has 384 divisors, whose sum is σ = 47650861440. Its totient is φ = 3694657536.

The previous prime is 14136111859. The next prime is 14136111877. The reversal of 14136111864 is 46811163141.

14136111864 is a `hidden beast` number, since 1 + 413 + 61 + 1 + 186 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60669892 + ... + 60670124.

It is an arithmetic number, because the mean of its divisors is an integer number (124090785).

Almost surely, 2^14136111864 is an apocalyptic number.

14136111864 is a gapful number since it is divisible by the number (14) 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 14136111864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23825430720).

14136111864 is an abundant number, since it is smaller than the sum of its proper divisors (33514749576).

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

14136111864 is a wasteful number, since it uses less digits than its factorization.

14136111864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 14136111864 in words is "fourteen billion, one hundred thirty-six million, one hundred eleven thousand, eight hundred sixty-four".