23005337761 has 48 divisors (see below), whose sum is σ = 28272456000. Its totient is φ = 18637153920.

The previous prime is 23005337743. The next prime is 23005337779. The reversal of 23005337761 is 16773350032.

It is an interprime number because it is at equal distance from previous prime (23005337743) and next prime (23005337779).

It is not a de Polignac number, because 23005337761 - 2¹¹ = 23005335713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23005337761.

It is not an unprimeable number, because it can be changed into a prime (23005337791) 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 47 ways as a sum of consecutive naturals, for example, 27750295 + ... + 27751123.

It is an arithmetic number, because the mean of its divisors is an integer number (589009500).

Almost surely, 2^23005337761 is an apocalyptic number.

It is an amenable number.

23005337761 is a deficient number, since it is larger than the sum of its proper divisors (5267118239).

23005337761 is a wasteful number, since it uses less digits than its factorization.

23005337761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 37.

Adding to 23005337761 its reverse (16773350032), we get a palindrome (39778687793).

The spelling of 23005337761 in words is "twenty-three billion, five million, three hundred thirty-seven thousand, seven hundred sixty-one".