220446356130 has 768 divisors, whose sum is σ = 792144976896. Its totient is φ = 41060597760.

The previous prime is 220446356099. The next prime is 220446356161. The reversal of 220446356130 is 31653644022.

220446356130 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 4 + 6 + 35 + 613 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220446356099) and next prime (220446356161).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 654143322 + ... + 654143658.

It is an arithmetic number, because the mean of its divisors is an integer number (1031438772).

Almost surely, 2^220446356130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220446356130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396072488448).

220446356130 is an abundant number, since it is smaller than the sum of its proper divisors (571698620766).

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

220446356130 is a wasteful number, since it uses less digits than its factorization.

220446356130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 220446356130 in words is "two hundred twenty billion, four hundred forty-six million, three hundred fifty-six thousand, one hundred thirty".