172429214238 has 128 divisors (see below), whose sum is σ = 406007078400. Its totient is φ = 54092966400.

The previous prime is 172429214197. The next prime is 172429214239. The reversal of 172429214238 is 832412924271.

172429214238 is a `hidden beast` number, since 1 + 7 + 2 + 429 + 214 + 2 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 172429214193 and 172429214202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172429214239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168882168 + ... + 168883188.

It is an arithmetic number, because the mean of its divisors is an integer number (3171930300).

Almost surely, 2^172429214238 is an apocalyptic number.

172429214238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172429214238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203003539200).

172429214238 is an abundant number, since it is smaller than the sum of its proper divisors (233577864162).

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

172429214238 is a wasteful number, since it uses less digits than its factorization.

172429214238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 172429214238 in words is "one hundred seventy-two billion, four hundred twenty-nine million, two hundred fourteen thousand, two hundred thirty-eight".