11140612992 has 256 divisors, whose sum is σ = 35259278400. Its totient is φ = 3493601280.

The previous prime is 11140612981. The next prime is 11140613021. The reversal of 11140612992 is 29921604111.

It is a happy number.

It is a super-2 number, since 2×11140612992² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4757742 + ... + 4760082.

Almost surely, 2^11140612992 is an apocalyptic number.

11140612992 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 11140612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629639200).

11140612992 is an abundant number, since it is smaller than the sum of its proper divisors (24118665408).

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

11140612992 is an frugal number, since it uses more digits than its factorization.

11140612992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2363 counting only the distinct ones).

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

The spelling of 11140612992 in words is "eleven billion, one hundred forty million, six hundred twelve thousand, nine hundred ninety-two".