172048416768 has 768 divisors, whose sum is σ = 577093870080. Its totient is φ = 50960793600.

The previous prime is 172048416719. The next prime is 172048416791. The reversal of 172048416768 is 867614840271.

172048416768 is a `hidden beast` number, since 17 + 204 + 8 + 416 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4196302828 + ... + 4196302868.

It is an arithmetic number, because the mean of its divisors is an integer number (751424310).

Almost surely, 2^172048416768 is an apocalyptic number.

172048416768 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 172048416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288546935040).

172048416768 is an abundant number, since it is smaller than the sum of its proper divisors (405045453312).

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

172048416768 is an frugal number, since it uses more digits than its factorization.

172048416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 172048416768 in words is "one hundred seventy-two billion, forty-eight million, four hundred sixteen thousand, seven hundred sixty-eight".