22630419036736 has 567 divisors, whose sum is σ = 58790595337929. Its totient is φ = 8614921383936.

The previous prime is 22630419036733. The next prime is 22630419036763. The reversal of 22630419036736 is 63763091403622.

The square root of 22630419036736 is 4757144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17618838350400 + 5011580686336 = 4197480^2 + 2238656^2 .

It is a super-2 number, since 2×22630419036736² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22630419036733) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 86047220541 + ... + 86047220803.

Almost surely, 2^{22630419036736} is an apocalyptic number.

22630419036736 is the 4757144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22630419036736

22630419036736 is an abundant number, since it is smaller than the sum of its proper divisors (36160176301193).

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

22630419036736 is an equidigital number, since it uses as much as digits as its factorization.

22630419036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 52.

The spelling of 22630419036736 in words is "twenty-two trillion, six hundred thirty billion, four hundred nineteen million, thirty-six thousand, seven hundred thirty-six".