365168214144 has 256 divisors, whose sum is σ = 1092045945600. Its totient is φ = 120119500800.

The previous prime is 365168214143. The next prime is 365168214149. The reversal of 365168214144 is 441412861563.

365168214144 is a `hidden beast` number, since 3 + 6 + 516 + 82 + 14 + 1 + 44 = 666.

It is a super-2 number, since 2×365168214144² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 365168214144.

It is not an unprimeable number, because it can be changed into a prime (365168214143) 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 31 ways as a sum of consecutive naturals, for example, 81929164 + ... + 81933620.

It is an arithmetic number, because the mean of its divisors is an integer number (4265804475).

Almost surely, 2^365168214144 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 365168214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546022972800).

365168214144 is an abundant number, since it is smaller than the sum of its proper divisors (726877731456).

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

365168214144 is a wasteful number, since it uses less digits than its factorization.

365168214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4770 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 365168214144 in words is "three hundred sixty-five billion, one hundred sixty-eight million, two hundred fourteen thousand, one hundred forty-four".