4114566268344 has 160 divisors (see below), whose sum is σ = 13306750675680. Its totient is φ = 1163470749696.

The previous prime is 4114566268339. The next prime is 4114566268361. The reversal of 4114566268344 is 4438626654114.

4114566268344 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 5 + 6 + 626 + 8 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4235737 + ... + 5115720.

It is an arithmetic number, because the mean of its divisors is an integer number (83167191723).

Almost surely, 2^{4114566268344} is an apocalyptic number.

It is an amenable number.

4114566268344 is an abundant number, since it is smaller than the sum of its proper divisors (9192184407336).

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

4114566268344 is a wasteful number, since it uses less digits than its factorization.

4114566268344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351579 (or 9351566 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 4114566268344 in words is "four trillion, one hundred fourteen billion, five hundred sixty-six million, two hundred sixty-eight thousand, three hundred forty-four".