4521166771968 has 648 divisors, whose sum is σ = 17155253082240. Its totient is φ = 1174320322560.

The previous prime is 4521166771963. The next prime is 4521166772009. The reversal of 4521166771968 is 8691776611254.

4521166771968 is a `hidden beast` number, since 4 + 521 + 16 + 6 + 7 + 7 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4521166771963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33462693 + ... + 33597531.

Almost surely, 2^{4521166771968} is an apocalyptic number.

4521166771968 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 4521166771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577626541120).

4521166771968 is an abundant number, since it is smaller than the sum of its proper divisors (12634086310272).

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

4521166771968 is a wasteful number, since it uses less digits than its factorization.

4521166771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134895 (or 134862 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 4521166771968 in words is "four trillion, five hundred twenty-one billion, one hundred sixty-six million, seven hundred seventy-one thousand, nine hundred sixty-eight".