23263126146 has 144 divisors (see below), whose sum is σ = 55822987584. Its totient is φ = 6996502656.

The previous prime is 23263126123. The next prime is 23263126147. The reversal of 23263126146 is 64162136232.

23263126146 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 31 + 2 + 614 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23263126146.

It is not an unprimeable number, because it can be changed into a prime (23263126147) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31998435 + ... + 31999161.

It is an arithmetic number, because the mean of its divisors is an integer number (387659636).

Almost surely, 2^23263126146 is an apocalyptic number.

23263126146 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 23263126146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27911493792).

23263126146 is an abundant number, since it is smaller than the sum of its proper divisors (32559861438).

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

23263126146 is a wasteful number, since it uses less digits than its factorization.

23263126146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 969 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 23263126146 in words is "twenty-three billion, two hundred sixty-three million, one hundred twenty-six thousand, one hundred forty-six".