220226612816352 has 384 divisors, whose sum is σ = 629962585072128. Its totient is φ = 67094131507200.

The previous prime is 220226612816321. The next prime is 220226612816401. The reversal of 220226612816352 is 253618216622022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9757049227 + ... + 9757071797.

It is an arithmetic number, because the mean of its divisors is an integer number (1640527565292).

Almost surely, 2^{220226612816352} 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 220226612816352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314981292536064).

220226612816352 is an abundant number, since it is smaller than the sum of its proper divisors (409735972255776).

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

220226612816352 is a wasteful number, since it uses less digits than its factorization.

220226612816352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23442 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 220226612816352 in words is "two hundred twenty trillion, two hundred twenty-six billion, six hundred twelve million, eight hundred sixteen thousand, three hundred fifty-two".