11134456677800 has 48 divisors (see below), whose sum is σ = 25896126051900. Its totient is φ = 4452317849600.

The previous prime is 11134456677769. The next prime is 11134456677853. The reversal of 11134456677800 is 877665443111.

It can be written as a sum of positive squares in 6 ways, for example, as 7042728746596 + 4091727931204 = 2653814^2 + 2022802^2 .

It is a super-2 number, since 2×11134456677800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8545415 + ... + 9761814.

Almost surely, 2^{11134456677800} is an apocalyptic number.

11134456677800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134456677800 is an abundant number, since it is smaller than the sum of its proper divisors (14761669374100).

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

11134456677800 is a wasteful number, since it uses less digits than its factorization.

11134456677800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18310286 (or 18310277 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 11134456677800 in words is "eleven trillion, one hundred thirty-four billion, four hundred fifty-six million, six hundred seventy-seven thousand, eight hundred".