204693911608384 has 189 divisors, whose sum is σ = 448705470968391. Its totient is φ = 92579708432640.

The previous prime is 204693911608379. The next prime is 204693911608423. The reversal of 204693911608384 is 483806119396402.

The square root of 204693911608384 is 14307128.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 462063005667 + ... + 462063006109.

Almost surely, 2^{204693911608384} is an apocalyptic number.

204693911608384 is the 14307128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204693911608384

204693911608384 is an abundant number, since it is smaller than the sum of its proper divisors (244011559360007).

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

204693911608384 is an frugal number, since it uses more digits than its factorization.

204693911608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

204693911608384 divided by its sum of digits (64) gives a square (3198342368881 = 1788391²).

The spelling of 204693911608384 in words is "two hundred four trillion, six hundred ninety-three billion, nine hundred eleven million, six hundred eight thousand, three hundred eighty-four".