363048442669824 has 576 divisors, whose sum is σ = 1074762017280000. Its totient is φ = 108274370789376.

The previous prime is 363048442669753. The next prime is 363048442669831. The reversal of 363048442669824 is 428966244840363.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63149839302 + ... + 63149845050.

It is an arithmetic number, because the mean of its divisors is an integer number (1865906280000).

Almost surely, 2^{363048442669824} 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 363048442669824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537381008640000).

363048442669824 is an abundant number, since it is smaller than the sum of its proper divisors (711713574610176).

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

363048442669824 is a wasteful number, since it uses less digits than its factorization.

363048442669824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 69.

The spelling of 363048442669824 in words is "three hundred sixty-three trillion, forty-eight billion, four hundred forty-two million, six hundred sixty-nine thousand, eight hundred twenty-four".