14395113936 has 320 divisors, whose sum is σ = 50631759360. Its totient is φ = 3869835264.

The previous prime is 14395113907. The next prime is 14395113959. The reversal of 14395113936 is 63931159341.

14395113936 is a `hidden beast` number, since 1 + 43 + 9 + 511 + 3 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14395113891 and 14395113900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4162320 + ... + 4165776.

It is an arithmetic number, because the mean of its divisors is an integer number (158224248).

Almost surely, 2^14395113936 is an apocalyptic number.

14395113936 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 14395113936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25315879680).

14395113936 is an abundant number, since it is smaller than the sum of its proper divisors (36236645424).

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

14395113936 is an equidigital number, since it uses as much as digits as its factorization.

14395113936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3486 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 14395113936 in words is "fourteen billion, three hundred ninety-five million, one hundred thirteen thousand, nine hundred thirty-six".