13006464516 has 240 divisors, whose sum is σ = 38932185600. Its totient is φ = 3760100352.

The previous prime is 13006464491. The next prime is 13006464547. The reversal of 13006464516 is 61546460031.

It is a happy number.

13006464516 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 4 + 645 + 1 + 6 = 666.

It is a super-2 number, since 2×13006464516² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3870445 + ... + 3873803.

It is an arithmetic number, because the mean of its divisors is an integer number (162217440).

Almost surely, 2^13006464516 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 13006464516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466092800).

13006464516 is an abundant number, since it is smaller than the sum of its proper divisors (25925721084).

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

13006464516 is a wasteful number, since it uses less digits than its factorization.

13006464516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13006464516 in words is "thirteen billion, six million, four hundred sixty-four thousand, five hundred sixteen".