14864312672 has 96 divisors (see below), whose sum is σ = 33390766080. Its totient is φ = 6447569920.

The previous prime is 14864312663. The next prime is 14864312681. The reversal of 14864312672 is 27621346841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14864312663) and next prime (14864312681).

It is a super-3 number, since 3×14864312672³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3876068 + ... + 3879900.

It is an arithmetic number, because the mean of its divisors is an integer number (347820480).

Almost surely, 2^14864312672 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 14864312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695383040).

14864312672 is an abundant number, since it is smaller than the sum of its proper divisors (18526453408).

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

14864312672 is a wasteful number, since it uses less digits than its factorization.

14864312672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4348 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The spelling of 14864312672 in words is "fourteen billion, eight hundred sixty-four million, three hundred twelve thousand, six hundred seventy-two".