23242442065920 has 1152 divisors, whose sum is σ = 100869330481920. Its totient is φ = 4808528363520.

The previous prime is 23242442065873. The next prime is 23242442065949. The reversal of 23242442065920 is 2956024424232.

It is a happy number.

23242442065920 is a `hidden beast` number, since 2 + 32 + 4 + 2 + 4 + 4 + 20 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×23242442065920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1653435532 + ... + 1653449588.

It is an arithmetic number, because the mean of its divisors is an integer number (87560182710).

Almost surely, 2^{23242442065920} is an apocalyptic number.

23242442065920 is a gapful number since it is divisible by the number (20) 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 23242442065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50434665240960).

23242442065920 is an abundant number, since it is smaller than the sum of its proper divisors (77626888416000).

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

23242442065920 is a wasteful number, since it uses less digits than its factorization.

23242442065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14341 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 23242442065920 in words is "twenty-three trillion, two hundred forty-two billion, four hundred forty-two million, sixty-five thousand, nine hundred twenty".