361383586560 has 360 divisors, whose sum is σ = 1320627059136. Its totient is φ = 94317281280.

The previous prime is 361383586559. The next prime is 361383586591. The reversal of 361383586560 is 65685383163.

361383586560 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 8 + 3 + 586 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 361383586497 and 361383586506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4835880 + ... + 4910040.

Almost surely, 2^361383586560 is an apocalyptic number.

361383586560 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 361383586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660313529568).

361383586560 is an abundant number, since it is smaller than the sum of its proper divisors (959243472576).

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

361383586560 is an equidigital number, since it uses as much as digits as its factorization.

361383586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74241 (or 74218 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 361383586560 in words is "three hundred sixty-one billion, three hundred eighty-three million, five hundred eighty-six thousand, five hundred sixty".