109685589048 has 512 divisors, whose sum is σ = 372252672000. Its totient is φ = 29266997760.

The previous prime is 109685588953. The next prime is 109685589049. The reversal of 109685589048 is 840985586901.

109685589048 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 8 + 5 + 589 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109685589049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166442143 + ... + 166442801.

It is an arithmetic number, because the mean of its divisors is an integer number (727056000).

Almost surely, 2^109685589048 is an apocalyptic number.

109685589048 is a gapful number since it is divisible by the number (18) 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 109685589048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186126336000).

109685589048 is an abundant number, since it is smaller than the sum of its proper divisors (262567082952).

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

109685589048 is a wasteful number, since it uses less digits than its factorization.

109685589048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 109685589048 in words is "one hundred nine billion, six hundred eighty-five million, five hundred eighty-nine thousand, forty-eight".