10946111904 has 576 divisors, whose sum is σ = 41094144000. Its totient is φ = 2788162560.

The previous prime is 10946111903. The next prime is 10946111909. The reversal of 10946111904 is 40911164901.

10946111904 is a `hidden beast` number, since 1 + 0 + 9 + 461 + 1 + 190 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10946111903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21935847 + ... + 21936345.

It is an arithmetic number, because the mean of its divisors is an integer number (71344000).

Almost surely, 2^10946111904 is an apocalyptic number.

10946111904 is a gapful number since it is divisible by the number (14) 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 10946111904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072000).

10946111904 is an abundant number, since it is smaller than the sum of its proper divisors (30148032096).

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

10946111904 is a wasteful number, since it uses less digits than its factorization.

10946111904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10946111904 in words is "ten billion, nine hundred forty-six million, one hundred eleven thousand, nine hundred four".