363642447168 has 2016 divisors, whose sum is σ = 1529899757568. Its totient is φ = 84130099200.

The previous prime is 363642447143. The next prime is 363642447191. The reversal of 363642447168 is 861744246363.

363642447168 is a `hidden beast` number, since 3 + 6 + 36 + 4 + 2 + 447 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 5121724573 + ... + 5121724643.

It is an arithmetic number, because the mean of its divisors is an integer number (758878848).

Almost surely, 2^363642447168 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 363642447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764949878784).

363642447168 is an abundant number, since it is smaller than the sum of its proper divisors (1166257310400).

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

363642447168 is a wasteful number, since it uses less digits than its factorization.

363642447168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 363642447168 in words is "three hundred sixty-three billion, six hundred forty-two million, four hundred forty-seven thousand, one hundred sixty-eight".