363124845328 has 160 divisors (see below), whose sum is σ = 851114096640. Its totient is φ = 146810327040.

The previous prime is 363124845313. The next prime is 363124845329. The reversal of 363124845328 is 823548421363.

It is not an unprimeable number, because it can be changed into a prime (363124845329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28884228 + ... + 28896796.

It is an arithmetic number, because the mean of its divisors is an integer number (5319463104).

Almost surely, 2^363124845328 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 363124845328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425557048320).

363124845328 is an abundant number, since it is smaller than the sum of its proper divisors (487989251312).

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

363124845328 is a wasteful number, since it uses less digits than its factorization.

363124845328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12819 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

The spelling of 363124845328 in words is "three hundred sixty-three billion, one hundred twenty-four million, eight hundred forty-five thousand, three hundred twenty-eight".