146220610653 has 48 divisors (see below), whose sum is σ = 228413064880. Its totient is φ = 89603407872.

The previous prime is 146220610639. The next prime is 146220610687. The reversal of 146220610653 is 356016022641.

146220610653 is a `hidden beast` number, since 14 + 6 + 2 + 20 + 610 + 6 + 5 + 3 = 666.

146220610653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3232263609 + 142988347044 = 56853^2 + 378138^2 .

It is not a de Polignac number, because 146220610653 - 2²² = 146216416349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146220610603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33557751 + ... + 33562107.

Almost surely, 2^146220610653 is an apocalyptic number.

146220610653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146220610653 is a deficient number, since it is larger than the sum of its proper divisors (82192454227).

146220610653 is a wasteful number, since it uses less digits than its factorization.

146220610653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 146220610653 in words is "one hundred forty-six billion, two hundred twenty million, six hundred ten thousand, six hundred fifty-three".