361829433324672 has 256 divisors, whose sum is σ = 1154774796019200. Its totient is φ = 111099900248064.

The previous prime is 361829433324647. The next prime is 361829433324679. The reversal of 361829433324672 is 276423334928163.

361829433324672 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 294 + 3 + 33 + 246 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (361829433324679) 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 31 ways as a sum of consecutive naturals, for example, 62755563 + ... + 68278250.

It is an arithmetic number, because the mean of its divisors is an integer number (4510839046950).

Almost surely, 2^{361829433324672} is an apocalyptic number.

361829433324672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

361829433324672 is an abundant number, since it is smaller than the sum of its proper divisors (792945362694528).

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

361829433324672 is a wasteful number, since it uses less digits than its factorization.

361829433324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131033900 (or 131033882 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 63.

The spelling of 361829433324672 in words is "three hundred sixty-one trillion, eight hundred twenty-nine billion, four hundred thirty-three million, three hundred twenty-four thousand, six hundred seventy-two".