363432287952 has 240 divisors, whose sum is σ = 1097129779200. Its totient is φ = 111978789120.

The previous prime is 363432287923. The next prime is 363432287957. The reversal of 363432287952 is 259782234363.

It is a happy number.

363432287952 is a `hidden beast` number, since 3 + 6 + 343 + 228 + 79 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363432287957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86139699 + ... + 86143917.

It is an arithmetic number, because the mean of its divisors is an integer number (4571374080).

Almost surely, 2^363432287952 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 363432287952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548564889600).

363432287952 is an abundant number, since it is smaller than the sum of its proper divisors (733697491248).

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

363432287952 is a wasteful number, since it uses less digits than its factorization.

363432287952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5117 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 363432287952 in words is "three hundred sixty-three billion, four hundred thirty-two million, two hundred eighty-seven thousand, nine hundred fifty-two".