11152328007744 has 1680 divisors, whose sum is σ = 42587658279936. Its totient is φ = 2823892346880.

The previous prime is 11152328007739. The next prime is 11152328007787. The reversal of 11152328007744 is 44770082325111.

It is a happy number.

11152328007744 is a `hidden beast` number, since 1 + 1 + 1 + 523 + 2 + 80 + 0 + 7 + 7 + 44 = 666.

It is a super-2 number, since 2×11152328007744² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11152328007744.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49129198159 + ... + 49129198385.

Almost surely, 2^{11152328007744} is an apocalyptic number.

11152328007744 is a gapful number since it is divisible by the number (14) 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 11152328007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21293829139968).

11152328007744 is an abundant number, since it is smaller than the sum of its proper divisors (31435330272192).

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

11152328007744 is a wasteful number, since it uses less digits than its factorization.

11152328007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11152328007744 in words is "eleven trillion, one hundred fifty-two billion, three hundred twenty-eight million, seven thousand, seven hundred forty-four".