111064968148992 has 1536 divisors, whose sum is σ = 368190380113920. Its totient is φ = 29557348761600.

The previous prime is 111064968148987. The next prime is 111064968149021. The reversal of 111064968148992 is 299841869460111.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220805105413 + ... + 220805105915.

It is an arithmetic number, because the mean of its divisors is an integer number (239707278720).

Almost surely, 2^{111064968148992} is an apocalyptic number.

111064968148992 is a gapful number since it is divisible by the number (12) 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 111064968148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184095190056960).

111064968148992 is an abundant number, since it is smaller than the sum of its proper divisors (257125411964928).

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

111064968148992 is a wasteful number, since it uses less digits than its factorization.

111064968148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 69.

The spelling of 111064968148992 in words is "one hundred eleven trillion, sixty-four billion, nine hundred sixty-eight million, one hundred forty-eight thousand, nine hundred ninety-two".