11213983872 has 512 divisors, whose sum is σ = 41167526400. Its totient is φ = 2926264320.

The previous prime is 11213983849. The next prime is 11213983883. The reversal of 11213983872 is 27838931211.

It is a super-2 number, since 2×11213983872² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56923678 + ... + 56923874.

It is an arithmetic number, because the mean of its divisors is an integer number (80405325).

Almost surely, 2^11213983872 is an apocalyptic number.

11213983872 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 11213983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583763200).

11213983872 is an abundant number, since it is smaller than the sum of its proper divisors (29953542528).

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

11213983872 is a wasteful number, since it uses less digits than its factorization.

11213983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11213983872 in words is "eleven billion, two hundred thirteen million, nine hundred eighty-three thousand, eight hundred seventy-two".