172431039816 has 256 divisors, whose sum is σ = 562784256000. Its totient is φ = 47895494400.

The previous prime is 172431039799. The next prime is 172431039829. The reversal of 172431039816 is 618930134271.

172431039816 is a `hidden beast` number, since 1 + 7 + 243 + 1 + 0 + 398 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10722630 + ... + 10738698.

It is an arithmetic number, because the mean of its divisors is an integer number (2198376000).

Almost surely, 2^172431039816 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 172431039816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281392128000).

172431039816 is an abundant number, since it is smaller than the sum of its proper divisors (390353216184).

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

172431039816 is a wasteful number, since it uses less digits than its factorization.

172431039816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16289 (or 16279 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 172431039816 in words is "one hundred seventy-two billion, four hundred thirty-one million, thirty-nine thousand, eight hundred sixteen".