204166049472 has 784 divisors, whose sum is σ = 802109924352. Its totient is φ = 49895792640.

The previous prime is 204166049459. The next prime is 204166049501. The reversal of 204166049472 is 274940661402.

204166049472 is a `hidden beast` number, since 20 + 4 + 16 + 60 + 494 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61071033 + ... + 61074375.

Almost surely, 2^204166049472 is an apocalyptic number.

204166049472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204166049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401054962176).

204166049472 is an abundant number, since it is smaller than the sum of its proper divisors (597943874880).

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

204166049472 is a wasteful number, since it uses less digits than its factorization.

204166049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 204166049472 in words is "two hundred four billion, one hundred sixty-six million, forty-nine thousand, four hundred seventy-two".