363649665456 has 480 divisors, whose sum is σ = 1335662012160. Its totient is φ = 94447140480.

The previous prime is 363649665443. The next prime is 363649665487. The reversal of 363649665456 is 654566946363.

363649665456 is a `hidden beast` number, since 3 + 6 + 36 + 4 + 96 + 65 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 363649665393 and 363649665402.

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, 28168155 + ... + 28181061.

It is an arithmetic number, because the mean of its divisors is an integer number (2782629192).

Almost surely, 2^363649665456 is an apocalyptic number.

363649665456 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 363649665456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667831006080).

363649665456 is an abundant number, since it is smaller than the sum of its proper divisors (972012346704).

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

363649665456 is a wasteful number, since it uses less digits than its factorization.

363649665456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971 (or 12930 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 63.

The spelling of 363649665456 in words is "three hundred sixty-three billion, six hundred forty-nine million, six hundred sixty-five thousand, four hundred fifty-six".