14014619136 has 320 divisors, whose sum is σ = 47681948160. Its totient is φ = 3981312000.

The previous prime is 14014619131. The next prime is 14014619149. The reversal of 14014619136 is 63191641041.

14014619136 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 619 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14014619136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014619131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24288480 + ... + 24289056.

It is an arithmetic number, because the mean of its divisors is an integer number (149006088).

Almost surely, 2^14014619136 is an apocalyptic number.

14014619136 is a gapful number since it is divisible by the number (16) 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 14014619136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23840974080).

14014619136 is an abundant number, since it is smaller than the sum of its proper divisors (33667329024).

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

14014619136 is an equidigital number, since it uses as much as digits as its factorization.

14014619136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14014619136 in words is "fourteen billion, fourteen million, six hundred nineteen thousand, one hundred thirty-six".