4312167344361 has 48 divisors (see below), whose sum is σ = 6799935018240. Its totient is φ = 2723237994960.

The previous prime is 4312167344269. The next prime is 4312167344363. The reversal of 4312167344361 is 1634437612134.

It is a happy number.

4312167344361 is a `hidden beast` number, since 4 + 3 + 1 + 216 + 73 + 4 + 4 + 361 = 666.

4312167344361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4312167344361 - 2²⁶ = 4312100235497 is a prime.

It is a super-4 number, since 4×4312167344361⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (4312167344363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64285906 + ... + 64352948.

It is an arithmetic number, because the mean of its divisors is an integer number (141665312880).

Almost surely, 2^{4312167344361} is an apocalyptic number.

It is an amenable number.

4312167344361 is a deficient number, since it is larger than the sum of its proper divisors (2487767673879).

4312167344361 is a wasteful number, since it uses less digits than its factorization.

4312167344361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81008 (or 80996 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 4312167344361 in words is "four trillion, three hundred twelve billion, one hundred sixty-seven million, three hundred forty-four thousand, three hundred sixty-one".