363281684164672 has 1008 divisors, whose sum is σ = 1026727555806720. Its totient is φ = 126382104576000.

The previous prime is 363281684164667. The next prime is 363281684164673. The reversal of 363281684164672 is 276461486182363.

It is a junction number, because it is equal to n+sod(n) for n = 363281684164598 and 363281684164607.

It is not an unprimeable number, because it can be changed into a prime (363281684164673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8099723047 + ... + 8099767897.

Almost surely, 2^{363281684164672} is an apocalyptic number.

363281684164672 is a gapful number since it is divisible by the number (32) 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 363281684164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513363777903360).

363281684164672 is an abundant number, since it is smaller than the sum of its proper divisors (663445871642048).

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

363281684164672 is a wasteful number, since it uses less digits than its factorization.

363281684164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44980 (or 44950 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 67.

The spelling of 363281684164672 in words is "three hundred sixty-three trillion, two hundred eighty-one billion, six hundred eighty-four million, one hundred sixty-four thousand, six hundred seventy-two".