363681410544 has 320 divisors, whose sum is σ = 1098129715200. Its totient is φ = 115103711232.

The previous prime is 363681410531. The next prime is 363681410633. The reversal of 363681410544 is 445014186363.

363681410544 is a `hidden beast` number, since 3 + 6 + 3 + 68 + 1 + 41 + 0 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 363681410544.

It is a congruent number.

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, 433469677 + ... + 433470515.

It is an arithmetic number, because the mean of its divisors is an integer number (3431655360).

Almost surely, 2^363681410544 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 363681410544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549064857600).

363681410544 is an abundant number, since it is smaller than the sum of its proper divisors (734448304656).

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

363681410544 is a wasteful number, since it uses less digits than its factorization.

363681410544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 363681410544 in words is "three hundred sixty-three billion, six hundred eighty-one million, four hundred ten thousand, five hundred forty-four".