967181666401 has 4 divisors (see below), whose sum is σ = 967737200404. Its totient is φ = 966626132400.

The previous prime is 967181666387. The next prime is 967181666461. The reversal of 967181666401 is 104666181769.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 317392517376 + 649789149025 = 563376^2 + 806095^2 .

It is a cyclic number.

It is not a de Polignac number, because 967181666401 - 2²¹ = 967179569249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967181666461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277764390 + ... + 277767871.

It is an arithmetic number, because the mean of its divisors is an integer number (241934300101).

Almost surely, 2^967181666401 is an apocalyptic number.

It is an amenable number.

967181666401 is a deficient number, since it is larger than the sum of its proper divisors (555534003).

967181666401 is a wasteful number, since it uses less digits than its factorization.

967181666401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555534002.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 967181666401 in words is "nine hundred sixty-seven billion, one hundred eighty-one million, six hundred sixty-six thousand, four hundred one".