363460571868168 has 192 divisors, whose sum is σ = 1080900186912000. Its totient is φ = 114024661466112.

The previous prime is 363460571868167. The next prime is 363460571868197. The reversal of 363460571868168 is 861868175064363.

It is a happy number.

363460571868168 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 605 + 7 + 1 + 8 + 6 + 8 + 1 + 6 + 8 = 666.

It is a super-3 number, since 3×363460571868168³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 363460571868096 and 363460571868105.

It is not an unprimeable number, because it can be changed into a prime (363460571868167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3148722678 + ... + 3148838106.

It is an arithmetic number, because the mean of its divisors is an integer number (5629688473500).

Almost surely, 2^{363460571868168} 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 363460571868168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540450093456000).

363460571868168 is an abundant number, since it is smaller than the sum of its proper divisors (717439615043832).

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

363460571868168 is a wasteful number, since it uses less digits than its factorization.

363460571868168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210746 (or 210730 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 363460571868168 in words is "three hundred sixty-three trillion, four hundred sixty billion, five hundred seventy-one million, eight hundred sixty-eight thousand, one hundred sixty-eight".