3785564655873 has 144 divisors (see below), whose sum is σ = 7444467383808. Its totient is φ = 1803686227200.

The previous prime is 3785564655791. The next prime is 3785564655889.

3785564655873 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 5 + 64 + 6 + 558 + 7 + 3 = 666.

3785564655873 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3785564655873 - 2¹⁰ = 3785564654849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3785564655073) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15436888 + ... + 15680198.

Almost surely, 2^{3785564655873} is an apocalyptic number.

3785564655873 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3785564655873 is a deficient number, since it is larger than the sum of its proper divisors (3658902727935).

3785564655873 is a wasteful number, since it uses less digits than its factorization.

3785564655873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243516 (or 243502 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 72.

The spelling of 3785564655873 in words is "three trillion, seven hundred eighty-five billion, five hundred sixty-four million, six hundred fifty-five thousand, eight hundred seventy-three".