12344051065416 has 64 divisors (see below), whose sum is σ = 36221925924480. Its totient is φ = 3431550873600.

The previous prime is 12344051065399. The next prime is 12344051065433. The reversal of 12344051065416 is 61456015044321.

It is an interprime number because it is at equal distance from previous prime (12344051065399) and next prime (12344051065433).

It is a super-4 number, since 4×12344051065416⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 992919385 + ... + 992931816.

It is an arithmetic number, because the mean of its divisors is an integer number (565967592570).

Almost surely, 2^{12344051065416} is an apocalyptic number.

It is an amenable number.

12344051065416 is an abundant number, since it is smaller than the sum of its proper divisors (23877874859064).

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

12344051065416 is a wasteful number, since it uses less digits than its factorization.

12344051065416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985851254 (or 1985851250 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 12344051065416 in words is "twelve trillion, three hundred forty-four billion, fifty-one million, sixty-five thousand, four hundred sixteen".