14641079264 has 144 divisors (see below), whose sum is σ = 34190916480. Its totient is φ = 6152267520.

The previous prime is 14641079239. The next prime is 14641079267. The reversal of 14641079264 is 46297014641.

It is a super-2 number, since 2×14641079264² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14641079267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38630627 + ... + 38631005.

It is an arithmetic number, because the mean of its divisors is an integer number (237436920).

Almost surely, 2^14641079264 is an apocalyptic number.

14641079264 is a gapful number since it is divisible by the number (14) 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 14641079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095458240).

14641079264 is an abundant number, since it is smaller than the sum of its proper divisors (19549837216).

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

14641079264 is a wasteful number, since it uses less digits than its factorization.

14641079264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 14641079264 in words is "fourteen billion, six hundred forty-one million, seventy-nine thousand, two hundred sixty-four".