220606431552 has 280 divisors, whose sum is σ = 721436024232. Its totient is φ = 66222489600.

The previous prime is 220606431533. The next prime is 220606431559. The reversal of 220606431552 is 255134606022.

220606431552 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 0 + 643 + 1 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97298496 + 220509133056 = 9864^2 + 469584^2 .

It is a super-2 number, since 2×220606431552² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220606431559) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2723152 + ... + 2802992.

Almost surely, 2^220606431552 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 220606431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360718012116).

220606431552 is an abundant number, since it is smaller than the sum of its proper divisors (500829592680).

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

220606431552 is a wasteful number, since it uses less digits than its factorization.

220606431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79919 (or 79900 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 220606431552 in words is "two hundred twenty billion, six hundred six million, four hundred thirty-one thousand, five hundred fifty-two".