12869152096416 has 288 divisors, whose sum is σ = 44932552398720. Its totient is φ = 3146010869760.

The previous prime is 12869152096373. The next prime is 12869152096457. The reversal of 12869152096416 is 61469025196821.

It is a happy number.

It is a super-4 number, since 4×12869152096416⁴ (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12869152096416.

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 47 ways as a sum of consecutive naturals, for example, 3272661 + ... + 6037268.

It is an arithmetic number, because the mean of its divisors is an integer number (156015806940).

Almost surely, 2^{12869152096416} is an apocalyptic number.

12869152096416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12869152096416 is an abundant number, since it is smaller than the sum of its proper divisors (32063400302304).

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

12869152096416 is a wasteful number, since it uses less digits than its factorization.

12869152096416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309988 (or 9309969 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 12869152096416 in words is "twelve trillion, eight hundred sixty-nine billion, one hundred fifty-two million, ninety-six thousand, four hundred sixteen".