20226741358824 has 2304 divisors, whose sum is σ = 79640451072000. Its totient is φ = 4552431206400.

The previous prime is 20226741358799. The next prime is 20226741358841. The reversal of 20226741358824 is 42885314762202.

20226741358824 is a `hidden beast` number, since 2 + 0 + 2 + 26 + 7 + 4 + 13 + 588 + 24 = 666.

It is a super-2 number, since 2×20226741358824² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 101641916277 + ... + 101641916475.

It is an arithmetic number, because the mean of its divisors is an integer number (34566168000).

Almost surely, 2^{20226741358824} is an apocalyptic number.

20226741358824 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 20226741358824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39820225536000).

20226741358824 is an abundant number, since it is smaller than the sum of its proper divisors (59413709713176).

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

20226741358824 is a wasteful number, since it uses less digits than its factorization.

20226741358824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 20226741358824 in words is "twenty trillion, two hundred twenty-six billion, seven hundred forty-one million, three hundred fifty-eight thousand, eight hundred twenty-four".