363306366852000 has 1536 divisors, whose sum is σ = 1520536650587136. Its totient is φ = 74448764928000.

The previous prime is 363306366851957. The next prime is 363306366852019. The reversal of 363306366852000 is 258663603363.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1079195704 + ... + 1079532296.

It is an arithmetic number, because the mean of its divisors is an integer number (989932715226).

Almost surely, 2^{363306366852000} is an apocalyptic number.

363306366852000 is a gapful number since it is divisible by the number (30) 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 363306366852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760268325293568).

363306366852000 is an abundant number, since it is smaller than the sum of its proper divisors (1157230283735136).

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

363306366852000 is a wasteful number, since it uses less digits than its factorization.

363306366852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336699 (or 336681 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 51.

The spelling of 363306366852000 in words is "three hundred sixty-three trillion, three hundred six billion, three hundred sixty-six million, eight hundred fifty-two thousand".