172913319648 has 384 divisors, whose sum is σ = 541330957440. Its totient is φ = 53508833280.

The previous prime is 172913319643. The next prime is 172913319661. The reversal of 172913319648 is 846913319271.

172913319648 is a `hidden beast` number, since 17 + 291 + 331 + 9 + 6 + 4 + 8 = 666.

172913319648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×172913319648² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 172913319594 and 172913319603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172913319643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513095736 + ... + 513096072.

It is an arithmetic number, because the mean of its divisors is an integer number (1409716035).

Almost surely, 2^172913319648 is an apocalyptic number.

172913319648 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 172913319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270665478720).

172913319648 is an abundant number, since it is smaller than the sum of its proper divisors (368417637792).

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

172913319648 is a wasteful number, since it uses less digits than its factorization.

172913319648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 172913319648 in words is "one hundred seventy-two billion, nine hundred thirteen million, three hundred nineteen thousand, six hundred forty-eight".