11515150313064 has 112 divisors (see below), whose sum is σ = 32385706841700. Its totient is φ = 3836705025024.

The previous prime is 11515150313063. The next prime is 11515150313099. The reversal of 11515150313064 is 46031305151511.

11515150313064 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 515 + 0 + 3 + 130 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11016491192100 + 498659120964 = 3319110^2 + 706158^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11515150313063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12942232 + ... + 13803320.

Almost surely, 2^{11515150313064} 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 11515150313064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192853420850).

11515150313064 is an abundant number, since it is smaller than the sum of its proper divisors (20870556528636).

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

11515150313064 is an equidigital number, since it uses as much as digits as its factorization.

11515150313064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863406 (or 863387 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 11515150313064 its reverse (46031305151511), we get a palindrome (57546455464575).

The spelling of 11515150313064 in words is "eleven trillion, five hundred fifteen billion, one hundred fifty million, three hundred thirteen thousand, sixty-four".