172169230464 has 1536 divisors, whose sum is σ = 703895961600. Its totient is φ = 39016857600.

The previous prime is 172169230421. The next prime is 172169230501. The reversal of 172169230464 is 464032961271.

172169230464 is a `hidden beast` number, since 1 + 7 + 2 + 169 + 23 + 0 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1355663169 + ... + 1355663295.

It is an arithmetic number, because the mean of its divisors is an integer number (458265600).

Almost surely, 2^172169230464 is an apocalyptic number.

172169230464 is a gapful number since it is divisible by the number (14) 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 172169230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351947980800).

172169230464 is an abundant number, since it is smaller than the sum of its proper divisors (531726731136).

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

172169230464 is a wasteful number, since it uses less digits than its factorization.

172169230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 172169230464 in words is "one hundred seventy-two billion, one hundred sixty-nine million, two hundred thirty thousand, four hundred sixty-four".