145665172224 has 648 divisors, whose sum is σ = 504162247680. Its totient is φ = 40087756800.

The previous prime is 145665172193. The next prime is 145665172241. The reversal of 145665172224 is 422271566541.

145665172224 is a `hidden beast` number, since 1 + 456 + 6 + 5 + 172 + 2 + 24 = 666.

It is a super-2 number, since 2×145665172224² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145665172224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304102417 + ... + 304102895.

It is an arithmetic number, because the mean of its divisors is an integer number (778028160).

Almost surely, 2^145665172224 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 145665172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252081123840).

145665172224 is an abundant number, since it is smaller than the sum of its proper divisors (358497075456).

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

145665172224 is a wasteful number, since it uses less digits than its factorization.

145665172224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 579 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 145665172224 in words is "one hundred forty-five billion, six hundred sixty-five million, one hundred seventy-two thousand, two hundred twenty-four".