14706412900 has 81 divisors (see below), whose sum is σ = 32576311467. Its totient is φ = 5762750400.

The previous prime is 14706412867. The next prime is 14706412901. The reversal of 14706412900 is 921460741.

The square root of 14706412900 is 121270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7892900964 + 6813511936 = 88842^2 + 82544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14706412901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81250810 + ... + 81250990.

Almost surely, 2^14706412900 is an apocalyptic number.

14706412900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14706412900 is the 121270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14706412900

14706412900 is an abundant number, since it is smaller than the sum of its proper divisors (17869898567).

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

14706412900 is an equidigital number, since it uses as much as digits as its factorization.

14706412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 14706412900 in words is "fourteen billion, seven hundred six million, four hundred twelve thousand, nine hundred".