12916637567232 has 288 divisors, whose sum is σ = 39619038412800. Its totient is φ = 3659414298624.

The previous prime is 12916637567227. The next prime is 12916637567243. The reversal of 12916637567232 is 23276573661921.

It is a super-3 number, since 3×12916637567232³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631090569 + ... + 1631098487.

It is an arithmetic number, because the mean of its divisors is an integer number (137566105600).

Almost surely, 2^{12916637567232} is an apocalyptic number.

12916637567232 is a gapful number since it is divisible by the number (12) 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 12916637567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19809519206400).

12916637567232 is an abundant number, since it is smaller than the sum of its proper divisors (26702400845568).

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

12916637567232 is a wasteful number, since it uses less digits than its factorization.

12916637567232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10447 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The spelling of 12916637567232 in words is "twelve trillion, nine hundred sixteen billion, six hundred thirty-seven million, five hundred sixty-seven thousand, two hundred thirty-two".