933967616401 has 16 divisors (see below), whose sum is σ = 1026903700368. Its totient is φ = 845840793600.

The previous prime is 933967616371. The next prime is 933967616431. The reversal of 933967616401 is 104616769339.

It is a Cunningham number, because it is equal to 966420²+1.

It is an interprime number because it is at equal distance from previous prime (933967616371) and next prime (933967616431).

It can be written as a sum of positive squares in 8 ways, for example, as 206829396225 + 727138220176 = 454785^2 + 852724^2 .

It is not a de Polignac number, because 933967616401 - 2⁵ = 933967616369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (933967616431) 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, 9127080 + ... + 9228841.

It is an arithmetic number, because the mean of its divisors is an integer number (64181481273).

Almost surely, 2^933967616401 is an apocalyptic number.

It is an amenable number.

933967616401 is a deficient number, since it is larger than the sum of its proper divisors (92936083967).

933967616401 is a wasteful number, since it uses less digits than its factorization.

933967616401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18356052.

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 933967616401 in words is "nine hundred thirty-three billion, nine hundred sixty-seven million, six hundred sixteen thousand, four hundred one".