363561228576 has 576 divisors, whose sum is σ = 1377503366400. Its totient is φ = 90830647296.

The previous prime is 363561228529. The next prime is 363561228593. The reversal of 363561228576 is 675822165363.

363561228576 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 61 + 2 + 2 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28376860 + ... + 28389668.

It is an arithmetic number, because the mean of its divisors is an integer number (2391498900).

Almost surely, 2^363561228576 is an apocalyptic number.

363561228576 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 363561228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688751683200).

363561228576 is an abundant number, since it is smaller than the sum of its proper divisors (1013942137824).

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

363561228576 is a wasteful number, since it uses less digits than its factorization.

363561228576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 12853 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 363561228576 in words is "three hundred sixty-three billion, five hundred sixty-one million, two hundred twenty-eight thousand, five hundred seventy-six".