363348088160 has 48 divisors (see below), whose sum is σ = 861117896016. Its totient is φ = 144880731648.

The previous prime is 363348088141. The next prime is 363348088199. The reversal of 363348088160 is 61880843363.

It is a junction number, because it is equal to n+sod(n) for n = 363348088099 and 363348088108.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3531182 + ... + 3632621.

It is an arithmetic number, because the mean of its divisors is an integer number (17939956167).

Almost surely, 2^363348088160 is an apocalyptic number.

It is an amenable number.

363348088160 is an abundant number, since it is smaller than the sum of its proper divisors (497769807856).

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

363348088160 is a wasteful number, since it uses less digits than its factorization.

363348088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164135 (or 7164127 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 363348088160 in words is "three hundred sixty-three billion, three hundred forty-eight million, eighty-eight thousand, one hundred sixty".