11441292672 has 192 divisors, whose sum is σ = 32571570240. Its totient is φ = 3557498880.

The previous prime is 11441292671. The next prime is 11441292677. The reversal of 11441292672 is 27629214411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 11441292672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441292671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14537463 + ... + 14538249.

It is an arithmetic number, because the mean of its divisors is an integer number (169643595).

Almost surely, 2^11441292672 is an apocalyptic number.

11441292672 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 11441292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285785120).

11441292672 is an abundant number, since it is smaller than the sum of its proper divisors (21130277568).

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

11441292672 is a wasteful number, since it uses less digits than its factorization.

11441292672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 940 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The spelling of 11441292672 in words is "eleven billion, four hundred forty-one million, two hundred ninety-two thousand, six hundred seventy-two".