14352504940900 has 81 divisors (see below), whose sum is σ = 36230492621547. Its totient is φ = 4920767913600.

The previous prime is 14352504940877. The next prime is 14352504940903. The reversal of 14352504940900 is 904940525341.

The square root of 14352504940900 is 3788470.

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 9101697677604 + 5250807263296 = 3016902^2 + 2291464^2 .

It is not an unprimeable number, because it can be changed into a prime (14352504940903) 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, 265165840 + ... + 265219960.

Almost surely, 2^{14352504940900} is an apocalyptic number.

14352504940900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14352504940900 is the 3788470-th square number.

It is an amenable number.

14352504940900 is an abundant number, since it is smaller than the sum of its proper divisors (21877987680647).

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

14352504940900 is an frugal number, since it uses more digits than its factorization.

14352504940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108270 (or 54135 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 14352504940900 in words is "fourteen trillion, three hundred fifty-two billion, five hundred four million, nine hundred forty thousand, nine hundred".