172144499409 has 81 divisors (see below), whose sum is σ = 272877426939. Its totient is φ = 104555556000.

The previous prime is 172144499399. The next prime is 172144499411. The reversal of 172144499409 is 904994441271.

It is a happy number.

The square root of 172144499409 is 414903.

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

172144499409 is a `hidden beast` number, since 1 + 7 + 2 + 144 + 4 + 99 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90268399809 + 81876099600 = 300447^2 + 286140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-172144499409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172144499209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 685834534 + ... + 685834784.

Almost surely, 2^172144499409 is an apocalyptic number.

172144499409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

172144499409 is the 414903-rd square number.

172144499409 is the 207452-nd centered octagonal number.

It is an amenable number.

172144499409 is a deficient number, since it is larger than the sum of its proper divisors (100732927530).

172144499409 is an equidigital number, since it uses as much as digits as its factorization.

172144499409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 172144499409 in words is "one hundred seventy-two billion, one hundred forty-four million, four hundred ninety-nine thousand, four hundred nine".