109835358909472 has 144 divisors (see below), whose sum is σ = 255069830971872. Its totient is φ = 46412639400960.

The previous prime is 109835358909469. The next prime is 109835358909491. The reversal of 109835358909472 is 274909853538901.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a junction number, because it is equal to n+sod(n) for n = 109835358909395 and 109835358909404.

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 23 ways as a sum of consecutive naturals, for example, 361897947 + ... + 362201317.

It is an arithmetic number, because the mean of its divisors is an integer number (1771318270638).

Almost surely, 2^{109835358909472} 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 109835358909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127534915485936).

109835358909472 is an abundant number, since it is smaller than the sum of its proper divisors (145234472062400).

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

109835358909472 is a wasteful number, since it uses less digits than its factorization.

109835358909472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306631 (or 306616 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 73.

The spelling of 109835358909472 in words is "one hundred nine trillion, eight hundred thirty-five billion, three hundred fifty-eight million, nine hundred nine thousand, four hundred seventy-two".