361064144 has 60 divisors (see below), whose sum is σ = 856641600. Its totient is φ = 146591424.

The previous prime is 361064141. The next prime is 361064147. The reversal of 361064144 is 441460163.

It is an interprime number because it is at equal distance from previous prime (361064141) and next prime (361064147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361064141) 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 11 ways as a sum of consecutive naturals, for example, 2777 + ... + 27015.

It is an arithmetic number, because the mean of its divisors is an integer number (14277360).

Almost surely, 2^361064144 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 361064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428320800).

361064144 is an abundant number, since it is smaller than the sum of its proper divisors (495577456).

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

361064144 is a wasteful number, since it uses less digits than its factorization.

361064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24280 (or 24267 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 361064144 is about 19001.6879250239. The cubic root of 361064144 is about 712.0789059544.

The spelling of 361064144 in words is "three hundred sixty-one million, sixty-four thousand, one hundred forty-four".