14455252900 has 81 divisors (see below), whose sum is σ = 34510338723. Its totient is φ = 5251646400.

The previous prime is 14455252897. The next prime is 14455252901. The reversal of 14455252900 is 925255441.

The square root of 14455252900 is 120230.

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 3599280036 + 10855972864 = 59994^2 + 104192^2 .

It is a super-3 number, since 3×14455252900³ (a number of 31 digits) contains 333 as substring.

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 14455252900.

It is not an unprimeable number, because it can be changed into a prime (14455252901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13224754 + ... + 13225846.

Almost surely, 2^14455252900 is an apocalyptic number.

14455252900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14455252900 is the 120230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455252900

14455252900 is an abundant number, since it is smaller than the sum of its proper divisors (20055085823).

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

14455252900 is a wasteful number, since it uses less digits than its factorization.

14455252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 14455252900 in words is "fourteen billion, four hundred fifty-five million, two hundred fifty-two thousand, nine hundred".