11551565606148 has 144 divisors (see below), whose sum is σ = 30537058406400. Its totient is φ = 3674929781952.

The previous prime is 11551565606143. The next prime is 11551565606177. The reversal of 11551565606148 is 84160656515511.

11551565606148 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 565 + 60 + 6 + 14 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11551565606094 and 11551565606103.

It is not an unprimeable number, because it can be changed into a prime (11551565606143) 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, 1165995411 + ... + 1166005317.

It is an arithmetic number, because the mean of its divisors is an integer number (212062905600).

Almost surely, 2^{11551565606148} is an apocalyptic number.

11551565606148 is a gapful number since it is divisible by the number (18) 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 11551565606148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268529203200).

11551565606148 is an abundant number, since it is smaller than the sum of its proper divisors (18985492800252).

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

11551565606148 is a wasteful number, since it uses less digits than its factorization.

11551565606148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 12921 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 11551565606148 in words is "eleven trillion, five hundred fifty-one billion, five hundred sixty-five million, six hundred six thousand, one hundred forty-eight".