11491792992 has 72 divisors (see below), whose sum is σ = 32826515904. Its totient is φ = 3813398784.

The previous prime is 11491792981. The next prime is 11491793003. The reversal of 11491792992 is 29929719411.

11491792992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11491792981) and next prime (11491793003).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11491792992² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25243 + ... + 153690.

It is an arithmetic number, because the mean of its divisors is an integer number (455923832).

Almost surely, 2^11491792992 is an apocalyptic number.

11491792992 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 11491792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413257952).

11491792992 is an abundant number, since it is smaller than the sum of its proper divisors (21334722912).

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

11491792992 is a wasteful number, since it uses less digits than its factorization.

11491792992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179172 (or 179161 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The spelling of 11491792992 in words is "eleven billion, four hundred ninety-one million, seven hundred ninety-two thousand, nine hundred ninety-two".