12967074016 has 48 divisors (see below), whose sum is σ = 27635310864. Its totient is φ = 5953757184.

The previous prime is 12967074013. The next prime is 12967074031. The reversal of 12967074016 is 61047076921.

It is a super-3 number, since 3×12967074016³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967074013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 161041.

It is an arithmetic number, because the mean of its divisors is an integer number (575735643).

Almost surely, 2^12967074016 is an apocalyptic number.

12967074016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12967074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817655432).

12967074016 is an abundant number, since it is smaller than the sum of its proper divisors (14668236848).

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

12967074016 is a wasteful number, since it uses less digits than its factorization.

12967074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161723 (or 161715 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 12967074016 in words is "twelve billion, nine hundred sixty-seven million, seventy-four thousand, sixteen".