220834341366016 has 243 divisors, whose sum is σ = 515708868821769. Its totient is φ = 94104744781824.

The previous prime is 220834341365993. The next prime is 220834341366071. The reversal of 220834341366016 is 610663143438022.

The square root of 220834341366016 is 14860496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38062977030400 + 182771364335616 = 6169520^2 + 13519296^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 461032027665 + ... + 461032028143.

Almost surely, 2^{220834341366016} is an apocalyptic number.

220834341366016 is the 14860496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220834341366016

220834341366016 is an abundant number, since it is smaller than the sum of its proper divisors (294874527455753).

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

220834341366016 is an frugal number, since it uses more digits than its factorization.

220834341366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 49.

220834341366016 divided by its sum of digits (49) gives a square (4506823293184 = 2122928²).

The spelling of 220834341366016 in words is "two hundred twenty trillion, eight hundred thirty-four billion, three hundred forty-one million, three hundred sixty-six thousand, sixteen".