361846144 has 96 divisors (see below), whose sum is σ = 807448320. Its totient is φ = 161356800.

The previous prime is 361846103. The next prime is 361846151. The reversal of 361846144 is 441648163.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944577 + ... + 944959.

It is an arithmetic number, because the mean of its divisors is an integer number (8410920).

Almost surely, 2^361846144 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 361846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

361846144 is an abundant number, since it is smaller than the sum of its proper divisors (445602176).

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

361846144 is a wasteful number, since it uses less digits than its factorization.

361846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 361846144 is about 19022.2539148230. The cubic root of 361846144 is about 712.5926135486.

The spelling of 361846144 in words is "three hundred sixty-one million, eight hundred forty-six thousand, one hundred forty-four".