111164926464 has 480 divisors, whose sum is σ = 344212165440. Its totient is φ = 34483470336.

The previous prime is 111164926463. The next prime is 111164926489. The reversal of 111164926464 is 464629461111.

111164926464 is a `hidden beast` number, since 1 + 1 + 1 + 164 + 9 + 26 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111164926463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432548224 + ... + 432548480.

It is an arithmetic number, because the mean of its divisors is an integer number (717108678).

Almost surely, 2^111164926464 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 111164926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172106082720).

111164926464 is an abundant number, since it is smaller than the sum of its proper divisors (233047238976).

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

111164926464 is a wasteful number, since it uses less digits than its factorization.

111164926464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 111164926464 in words is "one hundred eleven billion, one hundred sixty-four million, nine hundred twenty-six thousand, four hundred sixty-four".