10938146688 has 320 divisors, whose sum is σ = 38492229600. Its totient is φ = 3016839168.

The previous prime is 10938146683. The next prime is 10938146699. The reversal of 10938146688 is 88664183901.

10938146688 is a `hidden beast` number, since 10 + 93 + 8 + 1 + 466 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938146683) 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 39 ways as a sum of consecutive naturals, for example, 2102106 + ... + 2107302.

Almost surely, 2^10938146688 is an apocalyptic number.

10938146688 is a gapful number since it is divisible by the number (18) 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 10938146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19246114800).

10938146688 is an abundant number, since it is smaller than the sum of its proper divisors (27554082912).

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

10938146688 is an equidigital number, since it uses as much as digits as its factorization.

10938146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10938146688 in words is "ten billion, nine hundred thirty-eight million, one hundred forty-six thousand, six hundred eighty-eight".