208224954496 has 128 divisors (see below), whose sum is σ = 461602713600. Its totient is φ = 92911104000.

The previous prime is 208224954481. The next prime is 208224954533. The reversal of 208224954496 is 694459422802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×208224954496² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100639350 + ... + 100641418.

It is an arithmetic number, because the mean of its divisors is an integer number (3606271200).

Almost surely, 2^208224954496 is an apocalyptic number.

208224954496 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 208224954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230801356800).

208224954496 is an abundant number, since it is smaller than the sum of its proper divisors (253377759104).

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

208224954496 is a wasteful number, since it uses less digits than its factorization.

208224954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 208224954496 in words is "two hundred eight billion, two hundred twenty-four million, nine hundred fifty-four thousand, four hundred ninety-six".