10468982745 has 192 divisors, whose sum is σ = 21033492480. Its totient is φ = 4779565056.

The previous prime is 10468982737. The next prime is 10468982759. The reversal of 10468982745 is 54728986401.

It is a happy number.

10468982745 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 10468982745 - 2³ = 10468982737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10468982691 and 10468982700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82432872 + ... + 82432998.

It is an arithmetic number, because the mean of its divisors is an integer number (109549440).

Almost surely, 2^10468982745 is an apocalyptic number.

10468982745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10468982745 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10468982745 is a wasteful number, since it uses less digits than its factorization.

10468982745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10468982745 in words is "ten billion, four hundred sixty-eight million, nine hundred eighty-two thousand, seven hundred forty-five".