14546832768 has 160 divisors (see below), whose sum is σ = 46621658160. Its totient is φ = 4475907072.

The previous prime is 14546832749. The next prime is 14546832821. The reversal of 14546832768 is 86723864541.

It is a happy number.

14546832768 is a `hidden beast` number, since 1 + 4 + 546 + 8 + 32 + 7 + 68 = 666.

It is a super-2 number, since 2×14546832768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80821 + ... + 188747.

Almost surely, 2^14546832768 is an apocalyptic number.

14546832768 is a gapful number since it is divisible by the number (18) 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 14546832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23310829080).

14546832768 is an abundant number, since it is smaller than the sum of its proper divisors (32074825392).

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

14546832768 is a wasteful number, since it uses less digits than its factorization.

14546832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107966 (or 107945 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 14546832768 in words is "fourteen billion, five hundred forty-six million, eight hundred thirty-two thousand, seven hundred sixty-eight".