145609536384 has 1024 divisors, whose sum is σ = 515725056000. Its totient is φ = 40057307136.

The previous prime is 145609536383. The next prime is 145609536419. The reversal of 145609536384 is 483635906541.

145609536384 is a `hidden beast` number, since 1 + 45 + 60 + 9 + 536 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 145609536384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145609536383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288579912 + ... + 1288580024.

It is an arithmetic number, because the mean of its divisors is an integer number (503637750).

Almost surely, 2^145609536384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145609536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257862528000).

145609536384 is an abundant number, since it is smaller than the sum of its proper divisors (370115519616).

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

145609536384 is a wasteful number, since it uses less digits than its factorization.

145609536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 145609536384 in words is "one hundred forty-five billion, six hundred nine million, five hundred thirty-six thousand, three hundred eighty-four".