363581469216 has 432 divisors, whose sum is σ = 1278661935096. Its totient is φ = 97372864512.

The previous prime is 363581469211. The next prime is 363581469239. The reversal of 363581469216 is 612964185363.

363581469216 is a `hidden beast` number, since 3 + 6 + 3 + 581 + 46 + 9 + 2 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324448716816 + 39132752400 = 569604^2 + 197820^2 .

It is not an unprimeable number, because it can be changed into a prime (363581469211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61652380 + ... + 61658276.

Almost surely, 2^363581469216 is an apocalyptic number.

363581469216 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 363581469216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639330967548).

363581469216 is an abundant number, since it is smaller than the sum of its proper divisors (915080465880).

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

363581469216 is a wasteful number, since it uses less digits than its factorization.

363581469216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6183 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 363581469216 in words is "three hundred sixty-three billion, five hundred eighty-one million, four hundred sixty-nine thousand, two hundred sixteen".