61163225344 has 243 divisors, whose sum is σ = 140338045029. Its totient is φ = 26590986240.

The previous prime is 61163225323. The next prime is 61163225351. The reversal of 61163225344 is 44352236116.

The square root of 61163225344 is 247312.

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 59887878400 + 1275346944 = 244720^2 + 35712^2 .

It is a super-3 number, since 3×61163225344³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1491785964 + ... + 1491786004.

Almost surely, 2^61163225344 is an apocalyptic number.

61163225344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61163225344 is the 247312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61163225344

61163225344 is an abundant number, since it is smaller than the sum of its proper divisors (79174819685).

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

61163225344 is an equidigital number, since it uses as much as digits as its factorization.

61163225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 85 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The spelling of 61163225344 in words is "sixty-one billion, one hundred sixty-three million, two hundred twenty-five thousand, three hundred forty-four".