361848313408 has 56 divisors (see below), whose sum is σ = 735010740288. Its totient is φ = 176651844096.

The previous prime is 361848313397. The next prime is 361848313427. The reversal of 361848313408 is 804313848163.

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, 7966410 + ... + 8011702.

Almost surely, 2^361848313408 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 361848313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367505370144).

361848313408 is an abundant number, since it is smaller than the sum of its proper divisors (373162426880).

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

361848313408 is a wasteful number, since it uses less digits than its factorization.

361848313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48251 (or 48241 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 361848313408 in words is "three hundred sixty-one billion, eight hundred forty-eight million, three hundred thirteen thousand, four hundred eight".