20305454144 has 28 divisors (see below), whose sum is σ = 40321551564. Its totient is φ = 10145693184.

The previous prime is 20305454137. The next prime is 20305454161. The reversal of 20305454144 is 44145450302.

It can be written as a sum of positive squares in 2 ways, for example, as 14140063744 + 6165390400 = 118912^2 + 78520^2 .

It is a super-2 number, since 2×20305454144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20305454144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16187 + ... + 202170.

It is an arithmetic number, because the mean of its divisors is an integer number (1440055413).

Almost surely, 2^20305454144 is an apocalyptic number.

It is an amenable number.

20305454144 is a deficient number, since it is larger than the sum of its proper divisors (20016097420).

20305454144 is a wasteful number, since it uses less digits than its factorization.

20305454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219822 (or 219812 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 20305454144 in words is "twenty billion, three hundred five million, four hundred fifty-four thousand, one hundred forty-four".