10436630816628 has 36 divisors (see below), whose sum is σ = 26381862676260. Its totient is φ = 3478826931456.

The previous prime is 10436630816593. The next prime is 10436630816657. The reversal of 10436630816628 is 82661803663401.

10436630816628 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 6 + 6 + 3 + 0 + 8 + 1 + 6 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8921619400464 + 1515011416164 = 2986908^2 + 1230858^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10436630816628² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499426 + ... + 4595942.

It is an arithmetic number, because the mean of its divisors is an integer number (732829518785).

Almost surely, 2^{10436630816628} is an apocalyptic number.

10436630816628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10436630816628 is an abundant number, since it is smaller than the sum of its proper divisors (15945231859632).

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

10436630816628 is a wasteful number, since it uses less digits than its factorization.

10436630816628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167296 (or 4167291 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 10436630816628 in words is "ten trillion, four hundred thirty-six billion, six hundred thirty million, eight hundred sixteen thousand, six hundred twenty-eight".