111325164106464 has 576 divisors, whose sum is σ = 412650606670848. Its totient is φ = 27605272780800.

The previous prime is 111325164106463. The next prime is 111325164106483. The reversal of 111325164106464 is 464601461523111.

111325164106464 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 516 + 4 + 10 + 64 + 64 = 666.

It is a super-2 number, since 2×111325164106464² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111325164106463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265525542 + ... + 265944474.

It is an arithmetic number, because the mean of its divisors is an integer number (716407303248).

Almost surely, 2^{111325164106464} is an apocalyptic number.

111325164106464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111325164106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206325303335424).

111325164106464 is an abundant number, since it is smaller than the sum of its proper divisors (301325442564384).

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

111325164106464 is a wasteful number, since it uses less digits than its factorization.

111325164106464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419511 (or 419500 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 111325164106464 in words is "one hundred eleven trillion, three hundred twenty-five billion, one hundred sixty-four million, one hundred six thousand, four hundred sixty-four".