361115664 has 160 divisors (see below), whose sum is σ = 1173258240. Its totient is φ = 93159936.

The previous prime is 361115639. The next prime is 361115681. The reversal of 361115664 is 466511163.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204417 + ... + 206175.

It is an arithmetic number, because the mean of its divisors is an integer number (7332864).

Almost surely, 2^361115664 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 361115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586629120).

361115664 is an abundant number, since it is smaller than the sum of its proper divisors (812142576).

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

361115664 is a wasteful number, since it uses less digits than its factorization.

361115664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1831 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 361115664 is about 19003.0435457060. The cubic root of 361115664 is about 712.1127730304.

The spelling of 361115664 in words is "three hundred sixty-one million, one hundred fifteen thousand, six hundred sixty-four".