208108412120448 has 640 divisors, whose sum is σ = 713462631425280. Its totient is φ = 58985831632896.

The previous prime is 208108412120431. The next prime is 208108412120503. The reversal of 208108412120448 is 844021214801802.

208108412120448 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 0 + 84 + 1 + 2 + 120 + 448 = 666.

It is a super-2 number, since 2×208108412120448² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4961201811 + ... + 4961243757.

It is an arithmetic number, because the mean of its divisors is an integer number (1114785361602).

Almost surely, 2^{208108412120448} is an apocalyptic number.

208108412120448 is a gapful number since it is divisible by the number (28) 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 208108412120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356731315712640).

208108412120448 is an abundant number, since it is smaller than the sum of its proper divisors (505354219304832).

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

208108412120448 is a wasteful number, since it uses less digits than its factorization.

208108412120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42524 (or 42503 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 208108412120448 in words is "two hundred eight trillion, one hundred eight billion, four hundred twelve million, one hundred twenty thousand, four hundred forty-eight".