145593394560 has 768 divisors, whose sum is σ = 545460177600. Its totient is φ = 35672555520.

The previous prime is 145593394543. The next prime is 145593394577. The reversal of 145593394560 is 65493395541.

145593394560 is a `hidden beast` number, since 1 + 4 + 5 + 593 + 3 + 9 + 45 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145593394543) and next prime (145593394577).

It is a junction number, because it is equal to n+sod(n) for n = 145593394497 and 145593394506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754369824 + ... + 754370016.

Almost surely, 2^145593394560 is an apocalyptic number.

145593394560 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 145593394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272730088800).

145593394560 is an abundant number, since it is smaller than the sum of its proper divisors (399866783040).

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

145593394560 is a wasteful number, since it uses less digits than its factorization.

145593394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 145593394560 in words is "one hundred forty-five billion, five hundred ninety-three million, three hundred ninety-four thousand, five hundred sixty".