13067461968 has 160 divisors (see below), whose sum is σ = 37556679552. Its totient is φ = 3881779200.

The previous prime is 13067461951. The next prime is 13067461993. The reversal of 13067461968 is 86916476031.

It is a happy number.

It is a Cunningham number, because it is equal to 114313²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 13067461968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13945596 + ... + 13946532.

Almost surely, 2^13067461968 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 13067461968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778339776).

13067461968 is an abundant number, since it is smaller than the sum of its proper divisors (24489217584).

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

13067461968 is a wasteful number, since it uses less digits than its factorization.

13067461968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 13067461968 in words is "thirteen billion, sixty-seven million, four hundred sixty-one thousand, nine hundred sixty-eight".