145363783728384 has 2304 divisors, whose sum is σ = 521433884160000. Its totient is φ = 39510922493952.

The previous prime is 145363783728377. The next prime is 145363783728403. The reversal of 145363783728384 is 483827387363541.

145363783728384 is a `hidden beast` number, since 1 + 4 + 5 + 36 + 3 + 78 + 372 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×145363783728384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255472378852 + ... + 255472379420.

It is an arithmetic number, because the mean of its divisors is an integer number (226316790000).

Almost surely, 2^{145363783728384} 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 145363783728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260716942080000).

145363783728384 is an abundant number, since it is smaller than the sum of its proper divisors (376070100431616).

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

145363783728384 is a wasteful number, since it uses less digits than its factorization.

145363783728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 785 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 145363783728384 in words is "one hundred forty-five trillion, three hundred sixty-three billion, seven hundred eighty-three million, seven hundred twenty-eight thousand, three hundred eighty-four".