232205240100438 has 384 divisors, whose sum is σ = 616113420249600. Its totient is φ = 64531725096960.

The previous prime is 232205240100359. The next prime is 232205240100439. The reversal of 232205240100438 is 834001042502232.

232205240100438 is a `hidden beast` number, since 2 + 3 + 2 + 20 + 524 + 0 + 100 + 4 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205240100439) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 672849093 + ... + 673194111.

It is an arithmetic number, because the mean of its divisors is an integer number (1604462031900).

Almost surely, 2^{232205240100438} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232205240100438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308056710124800).

232205240100438 is an abundant number, since it is smaller than the sum of its proper divisors (383908180149162).

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

232205240100438 is a wasteful number, since it uses less digits than its factorization.

232205240100438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345225 (or 345208 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 232205240100438 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred forty million, one hundred thousand, four hundred thirty-eight".