1566145632681 has 48 divisors (see below), whose sum is σ = 2700921142080. Its totient is φ = 894312135360.

The previous prime is 1566145632659. The next prime is 1566145632697. The reversal of 1566145632681 is 1862365416651.

1566145632681 is a `hidden beast` number, since 1 + 5 + 6 + 6 + 14 + 563 + 2 + 68 + 1 = 666.

It is not a de Polignac number, because 1566145632681 - 2¹³ = 1566145624489 is a prime.

It is a super-2 number, since 2×1566145632681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1566145632631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473141 + ... + 2302701.

It is an arithmetic number, because the mean of its divisors is an integer number (56269190460).

Almost surely, 2^{1566145632681} is an apocalyptic number.

It is an amenable number.

1566145632681 is a deficient number, since it is larger than the sum of its proper divisors (1134775509399).

1566145632681 is a wasteful number, since it uses less digits than its factorization.

1566145632681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831011 (or 830998 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 1566145632681 in words is "one trillion, five hundred sixty-six billion, one hundred forty-five million, six hundred thirty-two thousand, six hundred eighty-one".