10232924416 has 288 divisors, whose sum is σ = 25317605376. Its totient is φ = 4064256000.

The previous prime is 10232924363. The next prime is 10232924417. The reversal of 10232924416 is 61442923201.

It is not an unprimeable number, because it can be changed into a prime (10232924417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80574145 + ... + 80574271.

It is an arithmetic number, because the mean of its divisors is an integer number (87908352).

Almost surely, 2^10232924416 is an apocalyptic number.

10232924416 is a gapful number since it is divisible by the number (16) 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 10232924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658802688).

10232924416 is an abundant number, since it is smaller than the sum of its proper divisors (15084680960).

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

10232924416 is a wasteful number, since it uses less digits than its factorization.

10232924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10232924416 in words is "ten billion, two hundred thirty-two million, nine hundred twenty-four thousand, four hundred sixteen".