363666143232 has 960 divisors, whose sum is σ = 1335695961600. Its totient is φ = 96268124160.

The previous prime is 363666143231. The next prime is 363666143287. The reversal of 363666143232 is 232341666363.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363666143231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1169344357 + ... + 1169344667.

It is an arithmetic number, because the mean of its divisors is an integer number (1391349960).

Almost surely, 2^363666143232 is an apocalyptic number.

363666143232 is a gapful number since it is divisible by the number (32) 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 363666143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667847980800).

363666143232 is an abundant number, since it is smaller than the sum of its proper divisors (972029818368).

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

363666143232 is a wasteful number, since it uses less digits than its factorization.

363666143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 395 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The spelling of 363666143232 in words is "three hundred sixty-three billion, six hundred sixty-six million, one hundred forty-three thousand, two hundred thirty-two".