111671608464 has 120 divisors (see below), whose sum is σ = 337007831160. Its totient is φ = 34315370496.

The previous prime is 111671608459. The next prime is 111671608469. The reversal of 111671608464 is 464806176111.

111671608464 is a `hidden beast` number, since 1 + 116 + 71 + 6 + 0 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (111671608459) and next prime (111671608469).

It can be written as a sum of positive squares in 4 ways, for example, as 23284318464 + 88387290000 = 152592^2 + 297300^2 .

It is not an unprimeable number, because it can be changed into a prime (111671608469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400782 + ... + 1478354.

It is an arithmetic number, because the mean of its divisors is an integer number (2808398593).

Almost surely, 2^111671608464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111671608464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168503915580).

111671608464 is an abundant number, since it is smaller than the sum of its proper divisors (225336222696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111671608464 is a wasteful number, since it uses less digits than its factorization.

111671608464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78369 (or 78360 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 111671608464 in words is "one hundred eleven billion, six hundred seventy-one million, six hundred eight thousand, four hundred sixty-four".