109901183168448 has 448 divisors, whose sum is σ = 382087233792000. Its totient is φ = 30958067911680.

The previous prime is 109901183168411. The next prime is 109901183168453. The reversal of 109901183168448 is 844861381109901.

109901183168448 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 0 + 1 + 183 + 1 + 6 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40776186 + ... + 43387782.

Almost surely, 2^{109901183168448} is an apocalyptic number.

109901183168448 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 109901183168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191043616896000).

109901183168448 is an abundant number, since it is smaller than the sum of its proper divisors (272186050623552).

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

109901183168448 is an equidigital number, since it uses as much as digits as its factorization.

109901183168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611710 (or 2611680 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 109901183168448 in words is "one hundred nine trillion, nine hundred one billion, one hundred eighty-three million, one hundred sixty-eight thousand, four hundred forty-eight".