172431133992 has 336 divisors, whose sum is σ = 529142263740. Its totient is φ = 52627221504.

The previous prime is 172431133967. The next prime is 172431133999. The reversal of 172431133992 is 299331134271.

172431133992 is a `hidden beast` number, since 1 + 7 + 243 + 1 + 13 + 399 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42351170436 + 130079963556 = 205794^2 + 360666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172431133999) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 135027658 + ... + 135028934.

Almost surely, 2^172431133992 is an apocalyptic number.

172431133992 is a gapful number since it is divisible by the number (12) 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 172431133992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264571131870).

172431133992 is an abundant number, since it is smaller than the sum of its proper divisors (356711129748).

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

172431133992 is a wasteful number, since it uses less digits than its factorization.

172431133992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1432 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 172431133992 in words is "one hundred seventy-two billion, four hundred thirty-one million, one hundred thirty-three thousand, nine hundred ninety-two".