11552345146056 has 256 divisors, whose sum is σ = 34859097584640. Its totient is φ = 3142997130240.

The previous prime is 11552345146033. The next prime is 11552345146061. The reversal of 11552345146056 is 65064154325511.

It is a junction number, because it is equal to n+sod(n) for n = 11552345145996 and 11552345146014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406715551 + ... + 406743953.

It is an arithmetic number, because the mean of its divisors is an integer number (136168349940).

Almost surely, 2^{11552345146056} 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 11552345146056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429548792320).

11552345146056 is an abundant number, since it is smaller than the sum of its proper divisors (23306752438584).

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

11552345146056 is a wasteful number, since it uses less digits than its factorization.

11552345146056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31676 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 11552345146056 in words is "eleven trillion, five hundred fifty-two billion, three hundred forty-five million, one hundred forty-six thousand, fifty-six".