361333333248 has 288 divisors, whose sum is σ = 1023582873600. Its totient is φ = 112956211200.

The previous prime is 361333333241. The next prime is 361333333253. The reversal of 361333333248 is 842333333163.

It is a super-2 number, since 2×361333333248² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361333333241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245637153 + ... + 245638623.

It is an arithmetic number, because the mean of its divisors is an integer number (3554107200).

Almost surely, 2^361333333248 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 361333333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511791436800).

361333333248 is an abundant number, since it is smaller than the sum of its proper divisors (662249540352).

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

361333333248 is a wasteful number, since it uses less digits than its factorization.

361333333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1815 counting only the distinct ones).

The product of its digits is 839808, while the sum is 42.

The spelling of 361333333248 in words is "three hundred sixty-one billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred forty-eight".