144465255196900 has 81 divisors (see below), whose sum is σ = 344582635421577. Its totient is φ = 52532339296800.

The previous prime is 144465255196837. The next prime is 144465255196909. The reversal of 144465255196900 is 9691552564441.

The square root of 144465255196900 is 12019370.

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

144465255196900 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 only one way, i.e., 52007491870884 + 92457763326016 = 7211622^2 + 9615496^2 .

It is a super-2 number, since 2×144465255196900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144465255196909) 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, 1322076067 + ... + 1322185333.

Almost surely, 2^{144465255196900} is an apocalyptic number.

144465255196900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144465255196900 is the 12019370-th square number.

It is an amenable number.

144465255196900 is an abundant number, since it is smaller than the sum of its proper divisors (200117380224677).

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

144465255196900 is an frugal number, since it uses more digits than its factorization.

144465255196900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218570 (or 109285 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 144465255196900 in words is "one hundred forty-four trillion, four hundred sixty-five billion, two hundred fifty-five million, one hundred ninety-six thousand, nine hundred".