172493936064 has 168 divisors, whose sum is σ = 508417208208. Its totient is φ = 55874396160.

The previous prime is 172493936029. The next prime is 172493936077. The reversal of 172493936064 is 460639394271.

It is a happy number.

172493936064 is a `hidden beast` number, since 1 + 7 + 2 + 493 + 93 + 6 + 0 + 64 = 666.

172493936064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 172493936064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18771279 + ... + 18780465.

It is an arithmetic number, because the mean of its divisors is an integer number (3026292906).

Almost surely, 2^172493936064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172493936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254208604104).

172493936064 is an abundant number, since it is smaller than the sum of its proper divisors (335923272144).

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

172493936064 is a wasteful number, since it uses less digits than its factorization.

172493936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 172493936064 in words is "one hundred seventy-two billion, four hundred ninety-three million, nine hundred thirty-six thousand, sixty-four".