366360144 has 80 divisors (see below), whose sum is σ = 968134464. Its totient is φ = 119347200.

The previous prime is 366360143. The next prime is 366360151. The reversal of 366360144 is 441063663.

366360144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×366360144² = 268439510223401472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366360143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617512 + ... + 618104.

Almost surely, 2^366360144 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 366360144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484067232).

366360144 is an abundant number, since it is smaller than the sum of its proper divisors (601774320).

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

366360144 is a wasteful number, since it uses less digits than its factorization.

366360144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 366360144 is about 19140.5366695921. The cubic root of 366360144 is about 715.5435539454.

The spelling of 366360144 in words is "three hundred sixty-six million, three hundred sixty thousand, one hundred forty-four".