361338168900 has 72 divisors (see below), whose sum is σ = 1065197697984. Its totient is φ = 94538787200.

The previous prime is 361338168883. The next prime is 361338168959. The reversal of 361338168900 is 9861833163.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 361338168900.

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 23 ways as a sum of consecutive naturals, for example, 11346936 + ... + 11378735.

It is an arithmetic number, because the mean of its divisors is an integer number (14794412472).

Almost surely, 2^361338168900 is an apocalyptic number.

361338168900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361338168900 is an abundant number, since it is smaller than the sum of its proper divisors (703859529084).

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

361338168900 is a wasteful number, since it uses less digits than its factorization.

361338168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725741 (or 22725734 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 361338168900 in words is "three hundred sixty-one billion, three hundred thirty-eight million, one hundred sixty-eight thousand, nine hundred".