11262234208896 has 576 divisors, whose sum is σ = 35938864601640. Its totient is φ = 3382617047040.

The previous prime is 11262234208879. The next prime is 11262234208903. The reversal of 11262234208896 is 69880243226211.

11262234208896 is a `hidden beast` number, since 1 + 1 + 2 + 622 + 3 + 4 + 2 + 0 + 8 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10433158401600 + 829075807296 = 3230040^2 + 910536^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9254094880 + ... + 9254096096.

Almost surely, 2^{11262234208896} is an apocalyptic number.

11262234208896 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 11262234208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969432300820).

11262234208896 is an abundant number, since it is smaller than the sum of its proper divisors (24676630392744).

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

11262234208896 is a wasteful number, since it uses less digits than its factorization.

11262234208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11262234208896 in words is "eleven trillion, two hundred sixty-two billion, two hundred thirty-four million, two hundred eight thousand, eight hundred ninety-six".