109171206144 has 1152 divisors, whose sum is σ = 434724675840. Its totient is φ = 25480396800.

The previous prime is 109171206113. The next prime is 109171206173. The reversal of 109171206144 is 441602171901.

109171206144 is a `hidden beast` number, since 1 + 0 + 9 + 17 + 1 + 20 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109171206099 and 109171206108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125476304 + ... + 1125476400.

It is an arithmetic number, because the mean of its divisors is an integer number (377365170).

Almost surely, 2^109171206144 is an apocalyptic number.

109171206144 is a gapful number since it is divisible by the number (14) 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 109171206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217362337920).

109171206144 is an abundant number, since it is smaller than the sum of its proper divisors (325553469696).

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

109171206144 is a wasteful number, since it uses less digits than its factorization.

109171206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 109171206144 in words is "one hundred nine billion, one hundred seventy-one million, two hundred six thousand, one hundred forty-four".