109358579712 has 256 divisors, whose sum is σ = 306162743040. Its totient is φ = 34681651200.

The previous prime is 109358579657. The next prime is 109358579717. The reversal of 109358579712 is 217975853901.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109358579717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173309637 + ... + 173310267.

It is an arithmetic number, because the mean of its divisors is an integer number (1195948215).

Almost surely, 2^109358579712 is an apocalyptic number.

109358579712 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 109358579712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153081371520).

109358579712 is an abundant number, since it is smaller than the sum of its proper divisors (196804163328).

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

109358579712 is an frugal number, since it uses more digits than its factorization.

109358579712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 57.

The spelling of 109358579712 in words is "one hundred nine billion, three hundred fifty-eight million, five hundred seventy-nine thousand, seven hundred twelve".