208081410048 has 144 divisors (see below), whose sum is σ = 636329879640. Its totient is φ = 65280344064.

The previous prime is 208081410011. The next prime is 208081410101. The reversal of 208081410048 is 840014180802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 208081409994 and 208081410021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18690 + ... + 645377.

Almost surely, 2^208081410048 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 208081410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318164939820).

208081410048 is an abundant number, since it is smaller than the sum of its proper divisors (428248469592).

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

208081410048 is a wasteful number, since it uses less digits than its factorization.

208081410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664112 (or 664089 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 208081410048 in words is "two hundred eight billion, eighty-one million, four hundred ten thousand, forty-eight".