23075262144 has 168 divisors, whose sum is σ = 72616606608. Its totient is φ = 6947665920.

The previous prime is 23075262143. The next prime is 23075262149. The reversal of 23075262144 is 44126257032.

23075262144 is a `hidden beast` number, since 23 + 0 + 7 + 5 + 2 + 621 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23075262099 and 23075262108.

It is not an unprimeable number, because it can be changed into a prime (23075262143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 983154 + ... + 1006350.

It is an arithmetic number, because the mean of its divisors is an integer number (432241706).

Almost surely, 2^23075262144 is an apocalyptic number.

23075262144 is a gapful number since it is divisible by the number (24) 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 23075262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36308303304).

23075262144 is an abundant number, since it is smaller than the sum of its proper divisors (49541344464).

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

23075262144 is a wasteful number, since it uses less digits than its factorization.

23075262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23383 (or 23370 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23075262144 in words is "twenty-three billion, seventy-five million, two hundred sixty-two thousand, one hundred forty-four".