145563600644 has 144 divisors (see below), whose sum is σ = 324651169920. Its totient is φ = 55894924800.

The previous prime is 145563600607. The next prime is 145563600647. The reversal of 145563600644 is 446006365541.

145563600644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 145563600595 and 145563600604.

It is not an unprimeable number, because it can be changed into a prime (145563600647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69679952 + ... + 69682040.

Almost surely, 2^145563600644 is an apocalyptic number.

145563600644 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 145563600644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162325584960).

145563600644 is an abundant number, since it is smaller than the sum of its proper divisors (179087569276).

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

145563600644 is a wasteful number, since it uses less digits than its factorization.

145563600644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 145563600644 in words is "one hundred forty-five billion, five hundred sixty-three million, six hundred thousand, six hundred forty-four".