363193116 has 144 divisors (see below), whose sum is σ = 1021031424. Its totient is φ = 99792000.

The previous prime is 363193097. The next prime is 363193121. The reversal of 363193116 is 611391363.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1340061 + ... + 1340331.

It is an arithmetic number, because the mean of its divisors is an integer number (7090496).

Almost surely, 2^363193116 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 363193116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510515712).

363193116 is an abundant number, since it is smaller than the sum of its proper divisors (657838308).

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

363193116 is a wasteful number, since it uses less digits than its factorization.

363193116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 363193116 is about 19057.6261900584. The cubic root of 363193116 is about 713.4757271468.

The spelling of 363193116 in words is "three hundred sixty-three million, one hundred ninety-three thousand, one hundred sixteen".