10949658192 has 160 divisors (see below), whose sum is σ = 34462080000. Its totient is φ = 3301119360.

The previous prime is 10949658113. The next prime is 10949658199. The reversal of 10949658192 is 29185694901.

10949658192 is a `hidden beast` number, since 10 + 9 + 49 + 6 + 581 + 9 + 2 = 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 (10949658199) 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 31 ways as a sum of consecutive naturals, for example, 939859 + ... + 951437.

It is an arithmetic number, because the mean of its divisors is an integer number (215388000).

Almost surely, 2^10949658192 is an apocalyptic number.

10949658192 is a gapful number since it is divisible by the number (12) 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 10949658192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231040000).

10949658192 is an abundant number, since it is smaller than the sum of its proper divisors (23512421808).

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

10949658192 is a wasteful number, since it uses less digits than its factorization.

10949658192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 10949658192 in words is "ten billion, nine hundred forty-nine million, six hundred fifty-eight thousand, one hundred ninety-two".