61671600167 has 16 divisors (see below), whose sum is σ = 67155379200. Its totient is φ = 56419701120.

The previous prime is 61671600121. The next prime is 61671600239. The reversal of 61671600167 is 76100617616.

It is a cyclic number.

It is not a de Polignac number, because 61671600167 - 2¹⁴ = 61671583783 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61671603167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162959 + ... + 387167.

It is an arithmetic number, because the mean of its divisors is an integer number (4197211200).

Almost surely, 2^61671600167 is an apocalyptic number.

61671600167 is a deficient number, since it is larger than the sum of its proper divisors (5483779033).

61671600167 is a wasteful number, since it uses less digits than its factorization.

61671600167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224726.

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 61671600167 in words is "sixty-one billion, six hundred seventy-one million, six hundred thousand, one hundred sixty-seven".