4414846434768 has 1440 divisors, whose sum is σ = 17574468912000. Its totient is φ = 1016667832320.

The previous prime is 4414846434763. The next prime is 4414846434797. The reversal of 4414846434768 is 8674346484144.

4414846434768 is a `hidden beast` number, since 4 + 4 + 1 + 484 + 64 + 34 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414846434763) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5741022288 + ... + 5741023056.

It is an arithmetic number, because the mean of its divisors is an integer number (12204492300).

Almost surely, 2^{4414846434768} is an apocalyptic number.

4414846434768 is a gapful number since it is divisible by the number (48) 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 4414846434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787234456000).

4414846434768 is an abundant number, since it is smaller than the sum of its proper divisors (13159622477232).

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

4414846434768 is a wasteful number, since it uses less digits than its factorization.

4414846434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 63.

The spelling of 4414846434768 in words is "four trillion, four hundred fourteen billion, eight hundred forty-six million, four hundred thirty-four thousand, seven hundred sixty-eight".