1668161101824 has 560 divisors, whose sum is σ = 5765478098688. Its totient is φ = 470766256128.

The previous prime is 1668161101799. The next prime is 1668161101883. The reversal of 1668161101824 is 4281011618661.

1668161101824 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 1 + 611 + 0 + 1 + 8 + 24 = 666.

It is a super-2 number, since 2×1668161101824² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1668161101824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 385521549 + ... + 385525875.

Almost surely, 2^{1668161101824} is an apocalyptic number.

1668161101824 is a gapful number since it is divisible by the number (14) 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 1668161101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882739049344).

1668161101824 is an abundant number, since it is smaller than the sum of its proper divisors (4097316996864).

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

1668161101824 is an frugal number, since it uses more digits than its factorization.

1668161101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1668161101824 in words is "one trillion, six hundred sixty-eight billion, one hundred sixty-one million, one hundred one thousand, eight hundred twenty-four".