11226313872 has 120 divisors (see below), whose sum is σ = 31738281120. Its totient is φ = 3704140800.

The previous prime is 11226313871. The next prime is 11226313873. The reversal of 11226313872 is 27831362211.

11226313872 is a `hidden beast` number, since 1 + 12 + 2 + 631 + 3 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11226313871) and next prime (11226313873).

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

It is not an unprimeable number, because it can be changed into a prime (11226313871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9346872 + ... + 9348072.

It is an arithmetic number, because the mean of its divisors is an integer number (264485676).

Almost surely, 2^11226313872 is an apocalyptic number.

11226313872 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 11226313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869140560).

11226313872 is an abundant number, since it is smaller than the sum of its proper divisors (20511967248).

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

11226313872 is a wasteful number, since it uses less digits than its factorization.

11226313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1812 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 11226313872 in words is "eleven billion, two hundred twenty-six million, three hundred thirteen thousand, eight hundred seventy-two".