981408364167 has 48 divisors (see below), whose sum is σ = 1644819895040. Its totient is φ = 509503547520.

The previous prime is 981408364151. The next prime is 981408364177. The reversal of 981408364167 is 761463804189.

981408364167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 981408364167 - 2⁴ = 981408364151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981408364177) 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, 3968448 + ... + 4208490.

Almost surely, 2^981408364167 is an apocalyptic number.

981408364167 is a deficient number, since it is larger than the sum of its proper divisors (663411530873).

981408364167 is a wasteful number, since it uses less digits than its factorization.

981408364167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241684 (or 241673 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 981408364167 in words is "nine hundred eighty-one billion, four hundred eight million, three hundred sixty-four thousand, one hundred sixty-seven".