911167611601 has 27 divisors (see below), whose sum is σ = 997887081393. Its totient is φ = 831604831200.

The previous prime is 911167611587. The next prime is 911167611647. The reversal of 911167611601 is 106116761119.

The square root of 911167611601 is 954551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34367598225 + 876800013376 = 185385^2 + 936376^2 .

It is not a de Polignac number, because 911167611601 - 2³³ = 902577677009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (911167611671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1253325100 + ... + 1253325826.

Almost surely, 2^911167611601 is an apocalyptic number.

911167611601 is the 954551-st square number.

911167611601 is the 477276-th centered octagonal number.

It is an amenable number.

911167611601 is a deficient number, since it is larger than the sum of its proper divisors (86719469792).

911167611601 is an frugal number, since it uses more digits than its factorization.

911167611601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 40.

The spelling of 911167611601 in words is "nine hundred eleven billion, one hundred sixty-seven million, six hundred eleven thousand, six hundred one".