14007162264 has 128 divisors (see below), whose sum is σ = 37286645760. Its totient is φ = 4377600000.

The previous prime is 14007162227. The next prime is 14007162269. The reversal of 14007162264 is 46226170041.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007162269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4604584 + ... + 4607624.

It is an arithmetic number, because the mean of its divisors is an integer number (291301920).

Almost surely, 2^14007162264 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 14007162264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643322880).

14007162264 is an abundant number, since it is smaller than the sum of its proper divisors (23279483496).

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

14007162264 is a wasteful number, since it uses less digits than its factorization.

14007162264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 14007162264 in words is "fourteen billion, seven million, one hundred sixty-two thousand, two hundred sixty-four".