11263732992 has 360 divisors, whose sum is σ = 35271864936. Its totient is φ = 3571236864.

The previous prime is 11263732981. The next prime is 11263732999. The reversal of 11263732992 is 29923736211.

11263732992 is a `hidden beast` number, since 1 + 1 + 2 + 637 + 3 + 2 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3137792256 + 8125940736 = 56016^2 + 90144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263732999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40663158 + ... + 40663434.

Almost surely, 2^11263732992 is an apocalyptic number.

11263732992 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 11263732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635932468).

11263732992 is an abundant number, since it is smaller than the sum of its proper divisors (24008131944).

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

11263732992 is an equidigital number, since it uses as much as digits as its factorization.

11263732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 11263732992 in words is "eleven billion, two hundred sixty-three million, seven hundred thirty-two thousand, nine hundred ninety-two".