220350339054912 has 336 divisors, whose sum is σ = 674682558663680. Its totient is φ = 63246728033280.

The previous prime is 220350339054847. The next prime is 220350339054949. The reversal of 220350339054912 is 219450933053022.

220350339054912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220350339054912² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2534962683 + ... + 2535049605.

Almost surely, 2^{220350339054912} is an apocalyptic number.

220350339054912 is a gapful number since it is divisible by the number (22) 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 220350339054912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337341279331840).

220350339054912 is an abundant number, since it is smaller than the sum of its proper divisors (454332219608768).

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

220350339054912 is a wasteful number, since it uses less digits than its factorization.

220350339054912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92722 (or 92701 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 220350339054912 in words is "two hundred twenty trillion, three hundred fifty billion, three hundred thirty-nine million, fifty-four thousand, nine hundred twelve".