11406375936 has 110 divisors (see below), whose sum is σ = 34061916240. Its totient is φ = 3802097664.

The previous prime is 11406375923. The next prime is 11406375943. The reversal of 11406375936 is 63957360411.

It is a happy number.

11406375936 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 637 + 5 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11406375891 and 11406375900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14185 + ... + 151703.

It is an arithmetic number, because the mean of its divisors is an integer number (309653784).

Almost surely, 2^11406375936 is an apocalyptic number.

11406375936 is a gapful number since it is divisible by the number (16) 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 11406375936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030958120).

11406375936 is an abundant number, since it is smaller than the sum of its proper divisors (22655540304).

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

11406375936 is an equidigital number, since it uses as much as digits as its factorization.

11406375936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137551 (or 137524 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 11406375936 in words is "eleven billion, four hundred six million, three hundred seventy-five thousand, nine hundred thirty-six".