111910989961 has 9 divisors (see below), whose sum is σ = 113628990951. Its totient is φ = 110218597632.

The previous prime is 111910989947. The next prime is 111910990001. The reversal of 111910989961 is 169989019111.

The square root of 111910989961 is 334531.

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

It can be written as a sum of positive squares in only one way, i.e., 38933209225 + 72977780736 = 197315^2 + 270144^2 .

It is not a de Polignac number, because 111910989961 - 2⁵ = 111910989929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111910909961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22411081 + ... + 22416073.

It is an arithmetic number, because the mean of its divisors is an integer number (12625443439).

Almost surely, 2^111910989961 is an apocalyptic number.

111910989961 is the 334531-st square number.

111910989961 is the 167266-th centered octagonal number.

It is an amenable number.

111910989961 is a deficient number, since it is larger than the sum of its proper divisors (1718000990).

111910989961 is an frugal number, since it uses more digits than its factorization.

111910989961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 55.

The spelling of 111910989961 in words is "one hundred eleven billion, nine hundred ten million, nine hundred eighty-nine thousand, nine hundred sixty-one".