14867768832 has 160 divisors (see below), whose sum is σ = 45718573824. Its totient is φ = 4205568000.

The previous prime is 14867768821. The next prime is 14867768837. The reversal of 14867768832 is 23886776841.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14867768837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079107 + ... + 1092797.

Almost surely, 2^14867768832 is an apocalyptic number.

14867768832 is a gapful number since it is divisible by the number (12) 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 14867768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859286912).

14867768832 is an abundant number, since it is smaller than the sum of its proper divisors (30850804992).

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

14867768832 is a wasteful number, since it uses less digits than its factorization.

14867768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13804 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 14867768832 in words is "fourteen billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, eight hundred thirty-two".