109438711460 has 72 divisors (see below), whose sum is σ = 249156723816. Its totient is φ = 40359920640.

The previous prime is 109438711453. The next prime is 109438711507. The reversal of 109438711460 is 64117834901.

109438711460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 18070349476 + 91368361984 = 134426^2 + 302272^2 .

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, 2877770 + ... + 2915550.

It is an arithmetic number, because the mean of its divisors is an integer number (3460510053).

Almost surely, 2^109438711460 is an apocalyptic number.

109438711460 is a gapful number since it is divisible by the number (10) 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 109438711460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124578361908).

109438711460 is an abundant number, since it is smaller than the sum of its proper divisors (139718012356).

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

109438711460 is a wasteful number, since it uses less digits than its factorization.

109438711460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38673 (or 38658 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 109438711460 in words is "one hundred nine billion, four hundred thirty-eight million, seven hundred eleven thousand, four hundred sixty".