61450144 has 48 divisors (see below), whose sum is σ = 141656256. Its totient is φ = 25689600.

The previous prime is 61450141. The next prime is 61450171. The reversal of 61450144 is 44105416.

61450144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61450144² = 7552240395241472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61450141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5839 + ... + 12529.

It is an arithmetic number, because the mean of its divisors is an integer number (2951172).

Almost surely, 2^61450144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828128).

61450144 is an abundant number, since it is smaller than the sum of its proper divisors (80206112).

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

61450144 is a wasteful number, since it uses less digits than its factorization.

61450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 61450144 is about 7839.0142237401. The cubic root of 61450144 is about 394.6156470653.

The spelling of 61450144 in words is "sixty-one million, four hundred fifty thousand, one hundred forty-four".