23300761408 has 84 divisors (see below), whose sum is σ = 49607576172. Its totient is φ = 10855628800.

The previous prime is 23300761387. The next prime is 23300761441. The reversal of 23300761408 is 80416700332.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9454061824 + 13846699584 = 97232^2 + 117672^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 11 ways as a sum of consecutive naturals, for example, 1861860 + ... + 1874332.

It is an arithmetic number, because the mean of its divisors is an integer number (590566383).

Almost surely, 2^23300761408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23300761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803788086).

23300761408 is an abundant number, since it is smaller than the sum of its proper divisors (26306814764).

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

23300761408 is a wasteful number, since it uses less digits than its factorization.

23300761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 23300761408 in words is "twenty-three billion, three hundred million, seven hundred sixty-one thousand, four hundred eight".