361847635968 has 720 divisors, whose sum is σ = 1228054732800. Its totient is φ = 94680907776.

The previous prime is 361847635951. The next prime is 361847635979. The reversal of 361847635968 is 869536748163.

It is a junction number, because it is equal to n+sod(n) for n = 361847635899 and 361847635908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849193921 + ... + 2849194047.

Almost surely, 2^361847635968 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 361847635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614027366400).

361847635968 is an abundant number, since it is smaller than the sum of its proper divisors (866207096832).

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

361847635968 is an equidigital number, since it uses as much as digits as its factorization.

361847635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 152 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 66.

The spelling of 361847635968 in words is "three hundred sixty-one billion, eight hundred forty-seven million, six hundred thirty-five thousand, nine hundred sixty-eight".