14808456100 has 81 divisors (see below), whose sum is σ = 33015701313. Its totient is φ = 5765185440.

The previous prime is 14808456097. The next prime is 14808456127. The reversal of 14808456100 is 165480841.

The square root of 14808456100 is 121690.

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

It can be written as a sum of positive squares in only one way, i.e., 5331044196 + 9477411904 = 73014^2 + 97352^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14808456100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52326559 + ... + 52326841.

Almost surely, 2^14808456100 is an apocalyptic number.

14808456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14808456100 is the 121690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14808456100

14808456100 is an abundant number, since it is smaller than the sum of its proper divisors (18207245213).

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

14808456100 is an equidigital number, since it uses as much as digits as its factorization.

14808456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 14808456100 in words is "fourteen billion, eight hundred eight million, four hundred fifty-six thousand, one hundred".