23661249066 has 240 divisors, whose sum is σ = 68225179176. Its totient is φ = 6070692096.

The previous prime is 23661249047. The next prime is 23661249067. The reversal of 23661249066 is 66094216632.

23661249066 is a `hidden beast` number, since 23 + 6 + 612 + 4 + 9 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19826048025 + 3835201041 = 140805^2 + 61929^2 .

It is not an unprimeable number, because it can be changed into a prime (23661249067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3815080 + ... + 3821276.

Almost surely, 2^23661249066 is an apocalyptic number.

23661249066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23661249066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34112589588).

23661249066 is an abundant number, since it is smaller than the sum of its proper divisors (44563930110).

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

23661249066 is a wasteful number, since it uses less digits than its factorization.

23661249066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 23661249066 in words is "twenty-three billion, six hundred sixty-one million, two hundred forty-nine thousand, sixty-six".