22630427481600 has 840 divisors, whose sum is σ = 86021036297592. Its totient is φ = 5894332416000.

The previous prime is 22630427481553. The next prime is 22630427481601. The reversal of 22630427481600 is 618472403622.

It is a happy number.

22630427481600 is a `hidden beast` number, since 2 + 2 + 6 + 30 + 4 + 2 + 7 + 4 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22630427481601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 401213400 + ... + 401269800.

Almost surely, 2^{22630427481600} is an apocalyptic number.

22630427481600 is a gapful number since it is divisible by the number (20) 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 22630427481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43010518148796).

22630427481600 is an abundant number, since it is smaller than the sum of its proper divisors (63390608815992).

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

22630427481600 is an frugal number, since it uses more digits than its factorization.

22630427481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56490 (or 56454 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22630427481600 in words is "twenty-two trillion, six hundred thirty billion, four hundred twenty-seven million, four hundred eighty-one thousand, six hundred".