14801335400 has 24 divisors (see below), whose sum is σ = 34413105270. Its totient is φ = 5920534080.

The previous prime is 14801335391. The next prime is 14801335403. The reversal of 14801335400 is 453310841.

14801335400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11130672004 + 3670663396 = 105502^2 + 60586^2 .

It is not an unprimeable number, because it can be changed into a prime (14801335403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37003139 + ... + 37003538.

Almost surely, 2^14801335400 is an apocalyptic number.

14801335400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14801335400 is an abundant number, since it is smaller than the sum of its proper divisors (19611769870).

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

14801335400 is a wasteful number, since it uses less digits than its factorization.

14801335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74006693 (or 74006684 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 14801335400 in words is "fourteen billion, eight hundred one million, three hundred thirty-five thousand, four hundred".