61844229225 has 81 divisors (see below), whose sum is σ = 113081583589. Its totient is φ = 32309155200.

The previous prime is 61844229217. The next prime is 61844229233. The reversal of 61844229225 is 52292244816.

The square root of 61844229225 is 248685.

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

61844229225 is a `hidden beast` number, since 61 + 84 + 422 + 92 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (61844229217) and next prime (61844229233).

It can be written as a sum of positive squares in 4 ways, for example, as 88003161 + 61756226064 = 9381^2 + 248508^2 .

It is not a de Polignac number, because 61844229225 - 2³ = 61844229217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 220086085 + ... + 220086365.

Almost surely, 2^61844229225 is an apocalyptic number.

61844229225 is the 248685-th square number.

61844229225 is the 124343-rd centered octagonal number.

It is an amenable number.

61844229225 is a deficient number, since it is larger than the sum of its proper divisors (51237354364).

61844229225 is an equidigital number, since it uses as much as digits as its factorization.

61844229225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 61844229225 in words is "sixty-one billion, eight hundred forty-four million, two hundred twenty-nine thousand, two hundred twenty-five".