172465218464 has 576 divisors, whose sum is σ = 463325184000. Its totient is φ = 63024192000.

The previous prime is 172465218461. The next prime is 172465218479. The reversal of 172465218464 is 464812564271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172465218461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2429087549 + ... + 2429087619.

It is an arithmetic number, because the mean of its divisors is an integer number (804384000).

Almost surely, 2^172465218464 is an apocalyptic number.

172465218464 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 172465218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592000).

172465218464 is an abundant number, since it is smaller than the sum of its proper divisors (290859965536).

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

172465218464 is a wasteful number, since it uses less digits than its factorization.

172465218464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The spelling of 172465218464 in words is "one hundred seventy-two billion, four hundred sixty-five million, two hundred eighteen thousand, four hundred sixty-four".