23382093879648 has 384 divisors, whose sum is σ = 81574889840640. Its totient is φ = 6370819361280.

The previous prime is 23382093879623. The next prime is 23382093879709. The reversal of 23382093879648 is 84697839028332.

It is a happy number.

23382093879648 is a `hidden beast` number, since 2 + 3 + 38 + 209 + 387 + 9 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 45789511 + ... + 46297337.

It is an arithmetic number, because the mean of its divisors is an integer number (212434608960).

Almost surely, 2^{23382093879648} is an apocalyptic number.

23382093879648 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 23382093879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40787444920320).

23382093879648 is an abundant number, since it is smaller than the sum of its proper divisors (58192795960992).

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

23382093879648 is a wasteful number, since it uses less digits than its factorization.

23382093879648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508207 (or 508193 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 23382093879648 in words is "twenty-three trillion, three hundred eighty-two billion, ninety-three million, eight hundred seventy-nine thousand, six hundred forty-eight".