11227952736 has 1152 divisors, whose sum is σ = 47551795200. Its totient is φ = 2415329280.

The previous prime is 11227952731. The next prime is 11227952741. The reversal of 11227952736 is 63725972211.

It is a happy number.

11227952736 is a `hidden beast` number, since 1 + 1 + 22 + 79 + 527 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (11227952731) and next prime (11227952741).

It is a junction number, because it is equal to n+sod(n) for n = 11227952691 and 11227952700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11227952731) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142125945 + ... + 142126023.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^11227952736 is an apocalyptic number.

11227952736 is a gapful number since it is divisible by the number (16) 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 11227952736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

11227952736 is an abundant number, since it is smaller than the sum of its proper divisors (36323842464).

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

11227952736 is a wasteful number, since it uses less digits than its factorization.

11227952736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 11227952736 in words is "eleven billion, two hundred twenty-seven million, nine hundred fifty-two thousand, seven hundred thirty-six".