11456052224 has 88 divisors (see below), whose sum is σ = 23625458688. Its totient is φ = 5549322240.

The previous prime is 11456052211. The next prime is 11456052229. The reversal of 11456052224 is 42225065411.

It is a super-2 number, since 2×11456052224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456052229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4956029 + ... + 4958339.

Almost surely, 2^11456052224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11456052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812729344).

11456052224 is an abundant number, since it is smaller than the sum of its proper divisors (12169406464).

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

11456052224 is a wasteful number, since it uses less digits than its factorization.

11456052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 11456052224 in words is "eleven billion, four hundred fifty-six million, fifty-two thousand, two hundred twenty-four".