11230853534208 has 2240 divisors, whose sum is σ = 44774221409280. Its totient is φ = 2725008998400.

The previous prime is 11230853534183. The next prime is 11230853534231. The reversal of 11230853534208 is 80243535803211.

11230853534208 is a `hidden beast` number, since 1 + 1 + 2 + 30 + 85 + 3 + 534 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×11230853534208² (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 223 ways as a sum of consecutive naturals, for example, 71534098866 + ... + 71534099022.

Almost surely, 2^{11230853534208} is an apocalyptic number.

11230853534208 is a gapful number since it is divisible by the number (18) 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 11230853534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387110704640).

11230853534208 is an abundant number, since it is smaller than the sum of its proper divisors (33543367875072).

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

11230853534208 is a wasteful number, since it uses less digits than its factorization.

11230853534208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 11230853534208 in words is "eleven trillion, two hundred thirty billion, eight hundred fifty-three million, five hundred thirty-four thousand, two hundred eight".