364118144 has 64 divisors (see below), whose sum is σ = 787799040. Its totient is φ = 166634496.

The previous prime is 364118119. The next prime is 364118149. The reversal of 364118144 is 441811463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 364118144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364118149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210467 + ... + 212189.

It is an arithmetic number, because the mean of its divisors is an integer number (12309360).

Almost surely, 2^364118144 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 364118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393899520).

364118144 is an abundant number, since it is smaller than the sum of its proper divisors (423680896).

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

364118144 is a wasteful number, since it uses less digits than its factorization.

364118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1865 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 364118144 is about 19081.8799912378. The cubic root of 364118144 is about 714.0809382362.

The spelling of 364118144 in words is "three hundred sixty-four million, one hundred eighteen thousand, one hundred forty-four".