109083297134592 has 1152 divisors, whose sum is σ = 361167772492800. Its totient is φ = 32908231065600.

The previous prime is 109083297134543. The next prime is 109083297134611. The reversal of 109083297134592 is 295431792380901.

109083297134592 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 3 + 2 + 9 + 7 + 1 + 34 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233583077143 + ... + 233583077609.

It is an arithmetic number, because the mean of its divisors is an integer number (313513691400).

Almost surely, 2^{109083297134592} is an apocalyptic number.

109083297134592 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 109083297134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180583886246400).

109083297134592 is an abundant number, since it is smaller than the sum of its proper divisors (252084475358208).

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

109083297134592 is an frugal number, since it uses more digits than its factorization.

109083297134592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 109083297134592 in words is "one hundred nine trillion, eighty-three billion, two hundred ninety-seven million, one hundred thirty-four thousand, five hundred ninety-two".