4053308141664 has 144 divisors (see below), whose sum is σ = 12660791270400. Its totient is φ = 1224340178688.

The previous prime is 4053308141639. The next prime is 4053308141689. The reversal of 4053308141664 is 4661418033504.

4053308141664 is a `hidden beast` number, since 40 + 533 + 0 + 8 + 1 + 4 + 16 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4053308141639) and next prime (4053308141689).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15977104 + ... + 16228815.

It is an arithmetic number, because the mean of its divisors is an integer number (87922161600).

Almost surely, 2^{4053308141664} is an apocalyptic number.

It is an amenable number.

4053308141664 is an abundant number, since it is smaller than the sum of its proper divisors (8607483128736).

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

4053308141664 is a wasteful number, since it uses less digits than its factorization.

4053308141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32205977 (or 32205966 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4053308141664 in words is "four trillion, fifty-three billion, three hundred eight million, one hundred forty-one thousand, six hundred sixty-four".