208014882516 has 144 divisors (see below), whose sum is σ = 627642449280. Its totient is φ = 59404786560.

The previous prime is 208014882499. The next prime is 208014882527. The reversal of 208014882516 is 615288410802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12909721 + ... + 12925823.

It is an arithmetic number, because the mean of its divisors is an integer number (4358628120).

Almost surely, 2^208014882516 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 208014882516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313821224640).

208014882516 is an abundant number, since it is smaller than the sum of its proper divisors (419627566764).

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

208014882516 is a wasteful number, since it uses less digits than its factorization.

208014882516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18571 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 208014882516 in words is "two hundred eight billion, fourteen million, eight hundred eighty-two thousand, five hundred sixteen".