364112144220 has 144 divisors (see below), whose sum is σ = 1151872944768. Its totient is φ = 85225701120.

The previous prime is 364112144219. The next prime is 364112144251. The reversal of 364112144220 is 22441211463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227067 + ... + 883053.

It is an arithmetic number, because the mean of its divisors is an integer number (7999117672).

Almost surely, 2^364112144220 is an apocalyptic number.

364112144220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364112144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575936472384).

364112144220 is an abundant number, since it is smaller than the sum of its proper divisors (787760800548).

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

364112144220 is a wasteful number, since it uses less digits than its factorization.

364112144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656068 (or 656037 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 364112144220 its reverse (22441211463), we get a palindrome (386553355683).

The spelling of 364112144220 in words is "three hundred sixty-four billion, one hundred twelve million, one hundred forty-four thousand, two hundred twenty".