22661355416100 has 288 divisors, whose sum is σ = 68695522955136. Its totient is φ = 5761530777600.

The previous prime is 22661355416087. The next prime is 22661355416101. The reversal of 22661355416100 is 161455316622.

It is not an unprimeable number, because it can be changed into a prime (22661355416101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477087552 + ... + 477135048.

It is an arithmetic number, because the mean of its divisors is an integer number (238526121372).

Almost surely, 2^{22661355416100} is an apocalyptic number.

22661355416100 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 22661355416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34347761477568).

22661355416100 is an abundant number, since it is smaller than the sum of its proper divisors (46034167539036).

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

22661355416100 is a wasteful number, since it uses less digits than its factorization.

22661355416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48415 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 22661355416100 in words is "twenty-two trillion, six hundred sixty-one billion, three hundred fifty-five million, four hundred sixteen thousand, one hundred".