11264649552 has 240 divisors, whose sum is σ = 35206080000. Its totient is φ = 3338910720.

The previous prime is 11264649547. The next prime is 11264649553. The reversal of 11264649552 is 25594646211.

11264649552 is a `hidden beast` number, since 1 + 12 + 6 + 46 + 49 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11264649498 and 11264649507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264649553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22574199 + ... + 22574697.

It is an arithmetic number, because the mean of its divisors is an integer number (146692000).

Almost surely, 2^11264649552 is an apocalyptic number.

11264649552 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 11264649552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040000).

11264649552 is an abundant number, since it is smaller than the sum of its proper divisors (23941430448).

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

11264649552 is a wasteful number, since it uses less digits than its factorization.

11264649552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 937 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 11264649552 in words is "eleven billion, two hundred sixty-four million, six hundred forty-nine thousand, five hundred fifty-two".