232205268048936 has 512 divisors, whose sum is σ = 753191599104000. Its totient is φ = 58007191302144.

The previous prime is 232205268048869. The next prime is 232205268048959. The reversal of 232205268048936 is 639840862502232.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 232205268048936.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1819769490 + ... + 1819897086.

It is an arithmetic number, because the mean of its divisors is an integer number (1471077342000).

Almost surely, 2^{232205268048936} is an apocalyptic number.

232205268048936 is a gapful number since it is divisible by the number (26) 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 232205268048936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376595799552000).

232205268048936 is an abundant number, since it is smaller than the sum of its proper divisors (520986331055064).

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

232205268048936 is a wasteful number, since it uses less digits than its factorization.

232205268048936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128201 (or 128197 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 232205268048936 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred sixty-eight million, forty-eight thousand, nine hundred thirty-six".