14261115960 has 768 divisors, whose sum is σ = 61817333760. Its totient is φ = 2874009600.

The previous prime is 14261115929. The next prime is 14261115971. The reversal of 14261115960 is 6951116241.

14261115960 is a `hidden beast` number, since 1 + 4 + 2 + 61 + 1 + 1 + 596 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20343610 + ... + 20344310.

It is an arithmetic number, because the mean of its divisors is an integer number (80491320).

Almost surely, 2^14261115960 is an apocalyptic number.

14261115960 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 14261115960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30908666880).

14261115960 is an abundant number, since it is smaller than the sum of its proper divisors (47556217800).

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

14261115960 is a wasteful number, since it uses less digits than its factorization.

14261115960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14261115960 in words is "fourteen billion, two hundred sixty-one million, one hundred fifteen thousand, nine hundred sixty".