11213641296 has 440 divisors, whose sum is σ = 38748207456. Its totient is φ = 3098891520.

The previous prime is 11213641279. The next prime is 11213641297. The reversal of 11213641296 is 69214631211.

It is a happy number.

11213641296 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 641 + 2 + 9 + 6 = 666.

It is a super-2 number, since 2×11213641296² (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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11213641296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213641297) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 135104071 + ... + 135104153.

Almost surely, 2^11213641296 is an apocalyptic number.

11213641296 is a gapful number since it is divisible by the number (16) 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 11213641296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374103728).

11213641296 is an abundant number, since it is smaller than the sum of its proper divisors (27534566160).

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

11213641296 is an equidigital number, since it uses as much as digits as its factorization.

11213641296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 11213641296 in words is "eleven billion, two hundred thirteen million, six hundred forty-one thousand, two hundred ninety-six".