363309856056 has 384 divisors, whose sum is σ = 1175945871360. Its totient is φ = 99153331200.

The previous prime is 363309856033. The next prime is 363309856069. The reversal of 363309856056 is 650658903363.

It is a junction number, because it is equal to n+sod(n) for n = 363309855993 and 363309856011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549636366 + ... + 549637026.

It is an arithmetic number, because the mean of its divisors is an integer number (3062359040).

Almost surely, 2^363309856056 is an apocalyptic number.

363309856056 is a gapful number since it is divisible by the number (36) 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 363309856056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587972935680).

363309856056 is an abundant number, since it is smaller than the sum of its proper divisors (812636015304).

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

363309856056 is a wasteful number, since it uses less digits than its factorization.

363309856056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 363309856056 in words is "three hundred sixty-three billion, three hundred nine million, eight hundred fifty-six thousand, fifty-six".