14533440768 has 864 divisors, whose sum is σ = 56371230720. Its totient is φ = 3650088960.

The previous prime is 14533440763. The next prime is 14533440781. The reversal of 14533440768 is 86704433541.

14533440768 is a `hidden beast` number, since 1 + 4 + 533 + 4 + 40 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×14533440768² (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 (14533440763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175101655 + ... + 175101737.

It is an arithmetic number, because the mean of its divisors is an integer number (65244480).

Almost surely, 2^14533440768 is an apocalyptic number.

14533440768 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 14533440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185615360).

14533440768 is an abundant number, since it is smaller than the sum of its proper divisors (41837789952).

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

14533440768 is a wasteful number, since it uses less digits than its factorization.

14533440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 14533440768 in words is "fourteen billion, five hundred thirty-three million, four hundred forty thousand, seven hundred sixty-eight".