1566161642304 has 896 divisors, whose sum is σ = 5652016128000. Its totient is φ = 424267683840.

The previous prime is 1566161642267. The next prime is 1566161642333. The reversal of 1566161642304 is 4032461616651.

1566161642304 is a `hidden beast` number, since 1 + 5 + 6 + 6 + 1 + 616 + 4 + 23 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1566161642304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1785816714 + ... + 1785817590.

Almost surely, 2^{1566161642304} is an apocalyptic number.

1566161642304 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 1566161642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826008064000).

1566161642304 is an abundant number, since it is smaller than the sum of its proper divisors (4085854485696).

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

1566161642304 is a wasteful number, since it uses less digits than its factorization.

1566161642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1566161642304 in words is "one trillion, five hundred sixty-six billion, one hundred sixty-one million, six hundred forty-two thousand, three hundred four".