4461015166344 has 96 divisors (see below), whose sum is σ = 13284054051840. Its totient is φ = 1341178473600.

The previous prime is 4461015166313. The next prime is 4461015166351. The reversal of 4461015166344 is 4436615101644.

4461015166344 is a `hidden beast` number, since 4 + 4 + 6 + 1 + 0 + 1 + 5 + 1 + 6 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4461015166344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22074987 + ... + 22276154.

It is an arithmetic number, because the mean of its divisors is an integer number (138375563040).

Almost surely, 2^{4461015166344} is an apocalyptic number.

4461015166344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4461015166344 is an abundant number, since it is smaller than the sum of its proper divisors (8823038885496).

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

4461015166344 is a wasteful number, since it uses less digits than its factorization.

4461015166344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44351291 (or 44351284 counting only the distinct ones).

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

The spelling of 4461015166344 in words is "four trillion, four hundred sixty-one billion, fifteen million, one hundred sixty-six thousand, three hundred forty-four".