146516285385 has 24 divisors (see below), whose sum is σ = 260825390280. Its totient is φ = 76030071552.

The previous prime is 146516285381. The next prime is 146516285401. The reversal of 146516285385 is 583582615641.

146516285385 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 1 + 628 + 5 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8473570704 + 138042714681 = 92052^2 + 371541^2 .

It is not a de Polignac number, because 146516285385 - 2² = 146516285381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146516285381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43997220 + ... + 44000549.

It is an arithmetic number, because the mean of its divisors is an integer number (10867724595).

Almost surely, 2^146516285385 is an apocalyptic number.

146516285385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146516285385 is a deficient number, since it is larger than the sum of its proper divisors (114309104895).

146516285385 is a wasteful number, since it uses less digits than its factorization.

146516285385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87997817 (or 87997814 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

It can be divided in two parts, 14651 and 6285385, that added together give a palindrome (6300036).

The spelling of 146516285385 in words is "one hundred forty-six billion, five hundred sixteen million, two hundred eighty-five thousand, three hundred eighty-five".