365845222080 has 1120 divisors, whose sum is σ = 1443414196224. Its totient is φ = 87411695616.

The previous prime is 365845222073. The next prime is 365845222117. The reversal of 365845222080 is 80222548563.

365845222080 is a `hidden beast` number, since 365 + 84 + 5 + 2 + 2 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2880670977 + ... + 2880671103.

Almost surely, 2^365845222080 is an apocalyptic number.

365845222080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365845222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721707098112).

365845222080 is an abundant number, since it is smaller than the sum of its proper divisors (1077568974144).

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

365845222080 is a wasteful number, since it uses less digits than its factorization.

365845222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 365845222080 in words is "three hundred sixty-five billion, eight hundred forty-five million, two hundred twenty-two thousand, eighty".