23282090172 has 240 divisors, whose sum is σ = 70692652800. Its totient is φ = 6603379200.

The previous prime is 23282090131. The next prime is 23282090263. The reversal of 23282090172 is 27109028232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12056047 + ... + 12057977.

It is an arithmetic number, because the mean of its divisors is an integer number (294552720).

Almost surely, 2^23282090172 is an apocalyptic number.

23282090172 is a gapful number since it is divisible by the number (22) 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 23282090172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35346326400).

23282090172 is an abundant number, since it is smaller than the sum of its proper divisors (47410562628).

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

23282090172 is a wasteful number, since it uses less digits than its factorization.

23282090172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 23282090172 in words is "twenty-three billion, two hundred eighty-two million, ninety thousand, one hundred seventy-two".