14131160535264 has 288 divisors, whose sum is σ = 38468230286976. Its totient is φ = 4541420405760.

The previous prime is 14131160535263. The next prime is 14131160535277. The reversal of 14131160535264 is 46253506113141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131160535263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7410151399 + ... + 7410153305.

It is an arithmetic number, because the mean of its divisors is an integer number (133570244052).

Almost surely, 2^{14131160535264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14131160535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234115143488).

14131160535264 is an abundant number, since it is smaller than the sum of its proper divisors (24337069751712).

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

14131160535264 is a wasteful number, since it uses less digits than its factorization.

14131160535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 14131160535264 in words is "fourteen trillion, one hundred thirty-one billion, one hundred sixty million, five hundred thirty-five thousand, two hundred sixty-four".