208906983702144 has 2688 divisors, whose sum is σ = 831759319137600. Its totient is φ = 51631342092288.

The previous prime is 208906983702073. The next prime is 208906983702167. The reversal of 208906983702144 is 441207389609802.

208906983702144 is a `hidden beast` number, since 208 + 90 + 69 + 8 + 3 + 70 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×208906983702144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 109547447239 + ... + 109547449145.

Almost surely, 2^{208906983702144} is an apocalyptic number.

208906983702144 is a gapful number since it is divisible by the number (24) 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 208906983702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415879659568800).

208906983702144 is an abundant number, since it is smaller than the sum of its proper divisors (622852335435456).

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

208906983702144 is a wasteful number, since it uses less digits than its factorization.

208906983702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 208906983702144 in words is "two hundred eight trillion, nine hundred six billion, nine hundred eighty-three million, seven hundred two thousand, one hundred forty-four".