10232345088 has 480 divisors, whose sum is σ = 36224348160. Its totient is φ = 2821754880.

The previous prime is 10232345069. The next prime is 10232345089. The reversal of 10232345088 is 88054323201.

10232345088 is a `hidden beast` number, since 1 + 0 + 232 + 345 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10232345089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26998083 + ... + 26998461.

It is an arithmetic number, because the mean of its divisors is an integer number (75467392).

Almost surely, 2^10232345088 is an apocalyptic number.

10232345088 is a gapful number since it is divisible by the number (18) 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 10232345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112174080).

10232345088 is an abundant number, since it is smaller than the sum of its proper divisors (25992003072).

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

10232345088 is an frugal number, since it uses more digits than its factorization.

10232345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10232345088 its reverse (88054323201), we get a palindrome (98286668289).

The spelling of 10232345088 in words is "ten billion, two hundred thirty-two million, three hundred forty-five thousand, eighty-eight".