145005593616 has 135 divisors (see below), whose sum is σ = 439612110327. Its totient is φ = 44598827520.

The previous prime is 145005593611. The next prime is 145005593701. The reversal of 145005593616 is 616395500541.

The square root of 145005593616 is 380796.

It is a perfect power (a square), and thus also a powerful number.

145005593616 is a `hidden beast` number, since 1 + 4 + 50 + 0 + 5 + 593 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83255331600 + 61750262016 = 288540^2 + 248496^2 .

It is not an unprimeable number, because it can be changed into a prime (145005593611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59402956 + ... + 59405396.

Almost surely, 2^145005593616 is an apocalyptic number.

145005593616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145005593616 is the 380796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145005593616

145005593616 is an abundant number, since it is smaller than the sum of its proper divisors (294606516711).

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

145005593616 is an equidigital number, since it uses as much as digits as its factorization.

145005593616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 145005593616 in words is "one hundred forty-five billion, five million, five hundred ninety-three thousand, six hundred sixteen".