361481442048 has 432 divisors, whose sum is σ = 1123048573920. Its totient is φ = 111588212736.

The previous prime is 361481442037. The next prime is 361481442137. The reversal of 361481442048 is 840244184163.

361481442048 is a `hidden beast` number, since 3 + 614 + 8 + 1 + 4 + 4 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361481441994 and 361481442012.

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, 180469015 + ... + 180471017.

Almost surely, 2^361481442048 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 361481442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561524286960).

361481442048 is an abundant number, since it is smaller than the sum of its proper divisors (761567131872).

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

361481442048 is a wasteful number, since it uses less digits than its factorization.

361481442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 361481442048 in words is "three hundred sixty-one billion, four hundred eighty-one million, four hundred forty-two thousand, forty-eight".