13011416064 has 66 divisors (see below), whose sum is σ = 37570208130. Its totient is φ = 4337135616.

The previous prime is 13011416059. The next prime is 13011416071. The reversal of 13011416064 is 46061411031.

13011416064 is a `hidden beast` number, since 1 + 3 + 0 + 11 + 41 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10949529600 + 2061886464 = 104640^2 + 45408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696699 + ... + 715130.

Almost surely, 2^13011416064 is an apocalyptic number.

It is an amenable number.

13011416064 is an abundant number, since it is smaller than the sum of its proper divisors (24558792066).

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

13011416064 is a wasteful number, since it uses less digits than its factorization.

13011416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411855 (or 1411834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13011416064 its reverse (46061411031), we get a palindrome (59072827095).

The spelling of 13011416064 in words is "thirteen billion, eleven million, four hundred sixteen thousand, sixty-four".