20414365153 has 48 divisors (see below), whose sum is σ = 27590083920. Its totient is φ = 14914658304.

The previous prime is 20414365141. The next prime is 20414365159. The reversal of 20414365153 is 35156341402.

It can be written as a sum of positive squares in 8 ways, for example, as 2807198289 + 17607166864 = 52983^2 + 132692^2 .

It is not a de Polignac number, because 20414365153 - 2¹⁷ = 20414234081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20414365159) 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 47 ways as a sum of consecutive naturals, for example, 556153 + ... + 591721.

It is an arithmetic number, because the mean of its divisors is an integer number (574793415).

Almost surely, 2^20414365153 is an apocalyptic number.

It is an amenable number.

20414365153 is a deficient number, since it is larger than the sum of its proper divisors (7175718767).

20414365153 is a wasteful number, since it uses less digits than its factorization.

20414365153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35666 (or 35659 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 20414365153 in words is "twenty billion, four hundred fourteen million, three hundred sixty-five thousand, one hundred fifty-three".