11546818650752 has 864 divisors, whose sum is σ = 31615987344480. Its totient is φ = 4111065446400.

The previous prime is 11546818650691. The next prime is 11546818650767. The reversal of 11546818650752 is 25705681864511.

It is a junction number, because it is equal to n+sod(n) for n = 11546818650691 and 11546818650700.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37611786983 + ... + 37611787289.

It is an arithmetic number, because the mean of its divisors is an integer number (36592577945).

Almost surely, 2^{11546818650752} 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 11546818650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807993672240).

11546818650752 is an abundant number, since it is smaller than the sum of its proper divisors (20069168693728).

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

11546818650752 is a wasteful number, since it uses less digits than its factorization.

11546818650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 59.

The spelling of 11546818650752 in words is "eleven trillion, five hundred forty-six billion, eight hundred eighteen million, six hundred fifty thousand, seven hundred fifty-two".