10438516305 has 288 divisors, whose sum is σ = 23905526400. Its totient is φ = 4296644352.

The previous prime is 10438516301. The next prime is 10438516313. The reversal of 10438516305 is 50361583401.

10438516305 is a `hidden beast` number, since 10 + 4 + 3 + 8 + 5 + 1 + 630 + 5 = 666.

It is not a de Polignac number, because 10438516305 - 2² = 10438516301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10438516305.

It is not an unprimeable number, because it can be changed into a prime (10438516301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66487287 + ... + 66487443.

It is an arithmetic number, because the mean of its divisors is an integer number (83005300).

Almost surely, 2^10438516305 is an apocalyptic number.

10438516305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10438516305 is an abundant number, since it is smaller than the sum of its proper divisors (13467010095).

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

10438516305 is a wasteful number, since it uses less digits than its factorization.

10438516305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10438516305 in words is "ten billion, four hundred thirty-eight million, five hundred sixteen thousand, three hundred five".