230826395952 has 280 divisors, whose sum is σ = 684083132544. Its totient is φ = 75401321472.

The previous prime is 230826395941. The next prime is 230826395953. The reversal of 230826395952 is 259593628032.

230826395952 is a `hidden beast` number, since 23 + 0 + 8 + 26 + 3 + 9 + 595 + 2 = 666.

230826395952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230826395953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 147303873 + ... + 147305439.

Almost surely, 2^230826395952 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 230826395952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342041566272).

230826395952 is an abundant number, since it is smaller than the sum of its proper divisors (453256736592).

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

230826395952 is a wasteful number, since it uses less digits than its factorization.

230826395952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 230826395952 in words is "two hundred thirty billion, eight hundred twenty-six million, three hundred ninety-five thousand, nine hundred fifty-two".