11046813696 has 170 divisors, whose sum is σ = 33019668462. Its totient is φ = 3680501760.

The previous prime is 11046813671. The next prime is 11046813751. The reversal of 11046813696 is 69631864011.

11046813696 is a `hidden beast` number, since 110 + 468 + 13 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8923447296 + 2123366400 = 94464^2 + 46080^2 .

It is a super-3 number, since 3×11046813696³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5307376 + ... + 5309456.

Almost surely, 2^11046813696 is an apocalyptic number.

11046813696 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 11046813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509834231).

11046813696 is an abundant number, since it is smaller than the sum of its proper divisors (21972854766).

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

11046813696 is an frugal number, since it uses more digits than its factorization.

11046813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11046813696 in words is "eleven billion, forty-six million, eight hundred thirteen thousand, six hundred ninety-six".