230523192342240 has 1728 divisors, whose sum is σ = 922226936279040. Its totient is φ = 48204352143360.

The previous prime is 230523192342239. The next prime is 230523192342269. The reversal of 230523192342240 is 42243291325032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 230523192342192 and 230523192342201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241892121604 + ... + 241892122556.

It is an arithmetic number, because the mean of its divisors is an integer number (533696143680).

Almost surely, 2^{230523192342240} is an apocalyptic number.

230523192342240 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 230523192342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461113468139520).

230523192342240 is an abundant number, since it is smaller than the sum of its proper divisors (691703743936800).

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

230523192342240 is a wasteful number, since it uses less digits than its factorization.

230523192342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 230523192342240 in words is "two hundred thirty trillion, five hundred twenty-three billion, one hundred ninety-two million, three hundred forty-two thousand, two hundred forty".