172108643616 has 384 divisors, whose sum is σ = 650348697600. Its totient is φ = 43001902080.

The previous prime is 172108643591. The next prime is 172108643633. The reversal of 172108643616 is 616346801271.

172108643616 is a `hidden beast` number, since 1 + 7 + 21 + 0 + 8 + 6 + 4 + 3 + 616 = 666.

172108643616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1436251 + ... + 1551461.

It is an arithmetic number, because the mean of its divisors is an integer number (1693616400).

Almost surely, 2^172108643616 is an apocalyptic number.

172108643616 is a gapful number since it is divisible by the number (16) 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 172108643616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325174348800).

172108643616 is an abundant number, since it is smaller than the sum of its proper divisors (478240053984).

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

172108643616 is a wasteful number, since it uses less digits than its factorization.

172108643616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115269 (or 115255 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 172108643616 in words is "one hundred seventy-two billion, one hundred eight million, six hundred forty-three thousand, six hundred sixteen".