363806055648 has 144 divisors (see below), whose sum is σ = 1188903302496. Its totient is φ = 103370204160.

The previous prime is 363806055637. The next prime is 363806055661. The reversal of 363806055648 is 846550608363.

It is a happy number.

363806055648 is a `hidden beast` number, since 3 + 6 + 3 + 80 + 6 + 0 + 556 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×363806055648² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 363806055594 and 363806055603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133611 + ... + 863402.

It is an arithmetic number, because the mean of its divisors is an integer number (8256272934).

Almost surely, 2^363806055648 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 363806055648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594451651248).

363806055648 is an abundant number, since it is smaller than the sum of its proper divisors (825097246848).

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

363806055648 is a wasteful number, since it uses less digits than its factorization.

363806055648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997217 (or 997206 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 363806055648 in words is "three hundred sixty-three billion, eight hundred six million, fifty-five thousand, six hundred forty-eight".