208040115418992 has 120 divisors (see below), whose sum is σ = 616561115906736. Its totient is φ = 65258032416768.

The previous prime is 208040115418957. The next prime is 208040115419039. The reversal of 208040115418992 is 299814511040802.

208040115418992 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 4 + 0 + 1 + 1 + 541 + 8 + 9 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10756338 + ... + 23060334.

Almost surely, 2^{208040115418992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208040115418992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308280557953368).

208040115418992 is an abundant number, since it is smaller than the sum of its proper divisors (408521000487744).

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

208040115418992 is a wasteful number, since it uses less digits than its factorization.

208040115418992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310935 (or 12310926 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 208040115418992 in words is "two hundred eight trillion, forty billion, one hundred fifteen million, four hundred eighteen thousand, nine hundred ninety-two".