220671013824 has 336 divisors, whose sum is σ = 696980295648. Its totient is φ = 68985520128.

The previous prime is 220671013813. The next prime is 220671013919. The reversal of 220671013824 is 428310176022.

It is a happy number.

220671013824 is a `hidden beast` number, since 2 + 206 + 71 + 0 + 1 + 382 + 4 = 666.

It is a super-2 number, since 2×220671013824² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83808412 + ... + 83811044.

It is an arithmetic number, because the mean of its divisors is an integer number (2074346118).

Almost surely, 2^220671013824 is an apocalyptic number.

220671013824 is a gapful number since it is divisible by the number (24) 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 220671013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348490147824).

220671013824 is an abundant number, since it is smaller than the sum of its proper divisors (476309281824).

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

220671013824 is a wasteful number, since it uses less digits than its factorization.

220671013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 220671013824 its reverse (428310176022), we get a palindrome (648981189846).

The spelling of 220671013824 in words is "two hundred twenty billion, six hundred seventy-one million, thirteen thousand, eight hundred twenty-four".