23300379648 has 770 divisors, whose sum is σ = 87736266394. Its totient is φ = 6145155072.

The previous prime is 23300379647. The next prime is 23300379671. The reversal of 23300379648 is 84697300332.

23300379648 is a `hidden beast` number, since 233 + 0 + 0 + 379 + 6 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16131032064 + 7169347584 = 127008^2 + 84672^2 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 23300379648 = 168³ + 2856³ = 1260³ + 2772³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300379647) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1792336890 + ... + 1792336902.

Almost surely, 2^23300379648 is an apocalyptic number.

23300379648 is a gapful number since it is divisible by the number (28) 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 23300379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868133197).

23300379648 is an abundant number, since it is smaller than the sum of its proper divisors (64435886746).

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

23300379648 is an frugal number, since it uses more digits than its factorization.

23300379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23300379648 in words is "twenty-three billion, three hundred million, three hundred seventy-nine thousand, six hundred forty-eight".