11142011805696 has 672 divisors, whose sum is σ = 34985941061760. Its totient is φ = 3404754321408.

The previous prime is 11142011805667. The next prime is 11142011805713. The reversal of 11142011805696 is 69650811024111.

11142011805696 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 0 + 1 + 1 + 80 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11765587495 + ... + 11765588441.

Almost surely, 2^{11142011805696} is an apocalyptic number.

11142011805696 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 11142011805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492970530880).

11142011805696 is an abundant number, since it is smaller than the sum of its proper divisors (23843929256064).

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

11142011805696 is a wasteful number, since it uses less digits than its factorization.

11142011805696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11142011805696 in words is "eleven trillion, one hundred forty-two billion, eleven million, eight hundred five thousand, six hundred ninety-six".