220613193216 has 320 divisors, whose sum is σ = 718254028800. Its totient is φ = 66434162688.

The previous prime is 220613193193. The next prime is 220613193247. The reversal of 220613193216 is 612391316022.

220613193216 is a `hidden beast` number, since 2 + 2 + 0 + 613 + 1 + 9 + 32 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8433405 + ... + 8459523.

It is an arithmetic number, because the mean of its divisors is an integer number (2244543840).

Almost surely, 2^220613193216 is an apocalyptic number.

220613193216 is a gapful number since it is divisible by the number (26) 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 220613193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359127014400).

220613193216 is an abundant number, since it is smaller than the sum of its proper divisors (497640835584).

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

220613193216 is a wasteful number, since it uses less digits than its factorization.

220613193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26206 (or 26184 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 220613193216 in words is "two hundred twenty billion, six hundred thirteen million, one hundred ninety-three thousand, two hundred sixteen".