145585170227056 has 640 divisors, whose sum is σ = 377094584401920. Its totient is φ = 52966689177600.

The previous prime is 145585170227023. The next prime is 145585170227099. The reversal of 145585170227056 is 650722071585541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82765871905 + ... + 82765873663.

It is an arithmetic number, because the mean of its divisors is an integer number (589210288128).

Almost surely, 2^{145585170227056} is an apocalyptic number.

145585170227056 is a gapful number since it is divisible by the number (16) 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 145585170227056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188547292200960).

145585170227056 is an abundant number, since it is smaller than the sum of its proper divisors (231509414174864).

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

145585170227056 is a wasteful number, since it uses less digits than its factorization.

145585170227056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 58.

The spelling of 145585170227056 in words is "one hundred forty-five trillion, five hundred eighty-five billion, one hundred seventy million, two hundred twenty-seven thousand, fifty-six".