363348550656 has 1485 divisors, whose sum is σ = 1428743572641. Its totient is φ = 91661746176.

The previous prime is 363348550639. The next prime is 363348550657. The reversal of 363348550656 is 656055843363.

The square root of 363348550656 is 602784.

It is a perfect power (a square), and thus also a powerful number.

363348550656 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 4 + 85 + 506 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53749785600 + 309598765056 = 231840^2 + 556416^2 .

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

It is not an unprimeable number, because it can be changed into a prime (363348550657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15797763061 + ... + 15797763083.

Almost surely, 2^363348550656 is an apocalyptic number.

363348550656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

363348550656 is the 602784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363348550656

363348550656 is an abundant number, since it is smaller than the sum of its proper divisors (1065395021985).

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

363348550656 is a wasteful number, since it uses less digits than its factorization.

363348550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 363348550656 in words is "three hundred sixty-three billion, three hundred forty-eight million, five hundred fifty thousand, six hundred fifty-six".