11123534349900 has 576 divisors, whose sum is σ = 41732745600000. Its totient is φ = 2540693433600.

The previous prime is 11123534349899. The next prime is 11123534349901. The reversal of 11123534349900 is 994343532111.

11123534349900 is a `hidden beast` number, since 1 + 1 + 1 + 23 + 534 + 3 + 4 + 9 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11123534349899) and next prime (11123534349901).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11123534349901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1612336651 + ... + 1612343549.

Almost surely, 2^{11123534349900} is an apocalyptic number.

11123534349900 is a gapful number since it is divisible by the number (10) 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 11123534349900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866372800000).

11123534349900 is an abundant number, since it is smaller than the sum of its proper divisors (30609211250100).

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

11123534349900 is a wasteful number, since it uses less digits than its factorization.

11123534349900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8684 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 11123534349900 in words is "eleven trillion, one hundred twenty-three billion, five hundred thirty-four million, three hundred forty-nine thousand, nine hundred".