220794434352 has 120 divisors (see below), whose sum is σ = 624146250000. Its totient is φ = 72859336704.

The previous prime is 220794434339. The next prime is 220794434363. The reversal of 220794434352 is 253434497022.

220794434352 is a `hidden beast` number, since 2 + 207 + 9 + 4 + 4 + 3 + 435 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220794434298 and 220794434307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7050024 + ... + 7081272.

It is an arithmetic number, because the mean of its divisors is an integer number (5201218750).

Almost surely, 2^220794434352 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 220794434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312073125000).

220794434352 is an abundant number, since it is smaller than the sum of its proper divisors (403351815648).

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

220794434352 is a wasteful number, since it uses less digits than its factorization.

220794434352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31755 (or 31746 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 220794434352 in words is "two hundred twenty billion, seven hundred ninety-four million, four hundred thirty-four thousand, three hundred fifty-two".