145065568480 has 288 divisors, whose sum is σ = 424592715456. Its totient is φ = 45840826368.

The previous prime is 145065568471. The next prime is 145065568481. The reversal of 145065568480 is 84865560541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145065568481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14954992 + ... + 14964688.

It is an arithmetic number, because the mean of its divisors is an integer number (1474280262).

Almost surely, 2^145065568480 is an apocalyptic number.

145065568480 is a gapful number since it is divisible by the number (10) 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 145065568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212296357728).

145065568480 is an abundant number, since it is smaller than the sum of its proper divisors (279527146976).

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

145065568480 is a wasteful number, since it uses less digits than its factorization.

145065568480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 145065568480 in words is "one hundred forty-five billion, sixty-five million, five hundred sixty-eight thousand, four hundred eighty".