10638638437 has 8 divisors (see below), whose sum is σ = 12873646656. Its totient is φ = 8582430912.

The previous prime is 10638638419. The next prime is 10638638501. The reversal of 10638638437 is 73483683601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10638638437 - 2¹⁵ = 10638605669 is a prime.

It is a super-3 number, since 3×10638638437³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638638837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44700043 + ... + 44700280.

It is an arithmetic number, because the mean of its divisors is an integer number (1609205832).

Almost surely, 2^10638638437 is an apocalyptic number.

10638638437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10638638437 is a deficient number, since it is larger than the sum of its proper divisors (2235008219).

10638638437 is an equidigital number, since it uses as much as digits as its factorization.

10638638437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89400347.

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 10638638437 in words is "ten billion, six hundred thirty-eight million, six hundred thirty-eight thousand, four hundred thirty-seven".