20819460409345 has 32 divisors (see below), whose sum is σ = 27081380678688. Its totient is φ = 15273702033408.

The previous prime is 20819460409301. The next prime is 20819460409403. The reversal of 20819460409345 is 54390406491802.

It can be written as a sum of positive squares in 16 ways, for example, as 13178177790976 + 7641282618369 = 3630176^2 + 2764287^2 .

It is not a de Polignac number, because 20819460409345 - 2¹¹ = 20819460407297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57549367 + ... + 57910003.

It is an arithmetic number, because the mean of its divisors is an integer number (846293146209).

Almost surely, 2^{20819460409345} is an apocalyptic number.

It is an amenable number.

20819460409345 is a deficient number, since it is larger than the sum of its proper divisors (6261920269343).

20819460409345 is a wasteful number, since it uses less digits than its factorization.

20819460409345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366469.

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 20819460409345 in words is "twenty trillion, eight hundred nineteen billion, four hundred sixty million, four hundred nine thousand, three hundred forty-five".