208987951104 has 117 divisors (see below), whose sum is σ = 603922913269. Its totient is φ = 69633392640.

The previous prime is 208987951013. The next prime is 208987951129. The reversal of 208987951104 is 401159789802.

It is a happy number.

The square root of 208987951104 is 457152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 175509504 + 208812441600 = 13248^2 + 456960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87771994 + ... + 87774374.

Almost surely, 2^208987951104 is an apocalyptic number.

208987951104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

208987951104 is the 457152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208987951104

208987951104 is an abundant number, since it is smaller than the sum of its proper divisors (394934962165).

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

208987951104 is an frugal number, since it uses more digits than its factorization.

208987951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 208987951104 in words is "two hundred eight billion, nine hundred eighty-seven million, nine hundred fifty-one thousand, one hundred four".