20349373616784 has 135 divisors (see below), whose sum is σ = 57189589892617. Its totient is φ = 6754705062528.

The previous prime is 20349373616777. The next prime is 20349373616797. The reversal of 20349373616784 is 48761637394302.

It is a happy number.

The square root of 20349373616784 is 4511028.

It is a perfect power (a square), and thus also a powerful number.

20349373616784 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 9 + 3 + 7 + 3 + 616 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19253315379600 + 1096058237184 = 4387860^2 + 1046928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15860773807 + ... + 15860775089.

Almost surely, 2^{20349373616784} is an apocalyptic number.

20349373616784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20349373616784 is the 4511028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20349373616784

20349373616784 is an abundant number, since it is smaller than the sum of its proper divisors (36840216275833).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20349373616784 is an frugal number, since it uses more digits than its factorization.

20349373616784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 20349373616784 in words is "twenty trillion, three hundred forty-nine billion, three hundred seventy-three million, six hundred sixteen thousand, seven hundred eighty-four".