4643166144960 has 448 divisors, whose sum is σ = 18745993943040. Its totient is φ = 1059825254400.

The previous prime is 4643166144959. The next prime is 4643166144997. The reversal of 4643166144960 is 694416613464.

4643166144960 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 16 + 614 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 4643166144897 and 4643166144906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43916160 + ... + 44021760.

It is an arithmetic number, because the mean of its divisors is an integer number (41843736480).

Almost surely, 2^{4643166144960} is an apocalyptic number.

4643166144960 is a gapful number since it is divisible by the number (40) 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 4643166144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372996971520).

4643166144960 is an abundant number, since it is smaller than the sum of its proper divisors (14102827798080).

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

4643166144960 is a wasteful number, since it uses less digits than its factorization.

4643166144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106361 (or 106345 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4643166144960 in words is "four trillion, six hundred forty-three billion, one hundred sixty-six million, one hundred forty-four thousand, nine hundred sixty".