6144622957225 has 81 divisors (see below), whose sum is σ = 8155529952687. Its totient is φ = 4591833615360.

The previous prime is 6144622957219. The next prime is 6144622957241. The reversal of 6144622957225 is 5227592264416.

It is a happy number.

The square root of 6144622957225 is 2478835.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6117524529769 + 27098427456 = 2473363^2 + 164616^2 .

It is not a de Polignac number, because 6144622957225 - 2³⁷ = 6007184003753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22842464391 + ... + 22842464659.

Almost surely, 2^{6144622957225} is an apocalyptic number.

6144622957225 is the 2478835-th square number.

6144622957225 is the 1239418-th centered octagonal number.

It is an amenable number.

6144622957225 is a deficient number, since it is larger than the sum of its proper divisors (2010906995462).

6144622957225 is an frugal number, since it uses more digits than its factorization.

6144622957225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 6144622957225 in words is "six trillion, one hundred forty-four billion, six hundred twenty-two million, nine hundred fifty-seven thousand, two hundred twenty-five".