11213817552 has 200 divisors, whose sum is σ = 37388527616. Its totient is φ = 3178393344.

The previous prime is 11213817529. The next prime is 11213817553. The reversal of 11213817552 is 25571831211.

11213817552 is a `hidden beast` number, since 1 + 1 + 21 + 3 + 81 + 7 + 552 = 666.

It is a super-3 number, since 3×11213817552³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213817553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1147278 + ... + 1157010.

Almost surely, 2^11213817552 is an apocalyptic number.

11213817552 is a gapful number since it is divisible by the number (12) 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 11213817552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694263808).

11213817552 is an abundant number, since it is smaller than the sum of its proper divisors (26174710064).

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

11213817552 is a wasteful number, since it uses less digits than its factorization.

11213817552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9872 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The spelling of 11213817552 in words is "eleven billion, two hundred thirteen million, eight hundred seventeen thousand, five hundred fifty-two".