208932630816 has 384 divisors, whose sum is σ = 682822103040. Its totient is φ = 54469988352.

The previous prime is 208932630793. The next prime is 208932630827. The reversal of 208932630816 is 618036239802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475928325 + ... + 475928763.

It is an arithmetic number, because the mean of its divisors is an integer number (1778182560).

Almost surely, 2^208932630816 is an apocalyptic number.

208932630816 is a gapful number since it is divisible by the number (26) 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 208932630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341411051520).

208932630816 is an abundant number, since it is smaller than the sum of its proper divisors (473889472224).

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

208932630816 is a wasteful number, since it uses less digits than its factorization.

208932630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 208932630816 in words is "two hundred eight billion, nine hundred thirty-two million, six hundred thirty thousand, eight hundred sixteen".