109855338075648 has 640 divisors, whose sum is σ = 362374556544000. Its totient is φ = 32578677964800.

The previous prime is 109855338075643. The next prime is 109855338075649. The reversal of 109855338075648 is 846570833558901.

109855338075648 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 5 + 53 + 3 + 8 + 0 + 7 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109855338075643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845875140 + ... + 1845934652.

It is an arithmetic number, because the mean of its divisors is an integer number (566210244600).

Almost surely, 2^{109855338075648} is an apocalyptic number.

109855338075648 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 109855338075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181187278272000).

109855338075648 is an abundant number, since it is smaller than the sum of its proper divisors (252519218468352).

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

109855338075648 is a wasteful number, since it uses less digits than its factorization.

109855338075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59811 (or 59789 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 109855338075648 in words is "one hundred nine trillion, eight hundred fifty-five billion, three hundred thirty-eight million, seventy-five thousand, six hundred forty-eight".