3681146705067 has 24 divisors (see below), whose sum is σ = 5734515205328. Its totient is φ = 2262042676800.

The previous prime is 3681146705063. The next prime is 3681146705153. The reversal of 3681146705067 is 7605076411863.

3681146705067 is a `hidden beast` number, since 3 + 68 + 1 + 1 + 4 + 6 + 70 + 506 + 7 = 666.

It is not a de Polignac number, because 3681146705067 - 2² = 3681146705063 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3681146705063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22685284 + ... + 22846977.

Almost surely, 2^{3681146705067} is an apocalyptic number.

3681146705067 is a deficient number, since it is larger than the sum of its proper divisors (2053368500261).

3681146705067 is a wasteful number, since it uses less digits than its factorization.

3681146705067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45532971 (or 45532968 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3681146705067 in words is "three trillion, six hundred eighty-one billion, one hundred forty-six million, seven hundred five thousand, sixty-seven".