208833112740 has 144 divisors (see below), whose sum is σ = 715999435200. Its totient is φ = 45220992768.

The previous prime is 208833112729. The next prime is 208833112757. The reversal of 208833112740 is 47211338802.

208833112740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208833112740² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813395 + ... + 1925114.

It is an arithmetic number, because the mean of its divisors is an integer number (4972218300).

Almost surely, 2^208833112740 is an apocalyptic number.

208833112740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208833112740 is an abundant number, since it is smaller than the sum of its proper divisors (507166322460).

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

208833112740 is a wasteful number, since it uses less digits than its factorization.

208833112740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738554 (or 3738545 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 208833112740 in words is "two hundred eight billion, eight hundred thirty-three million, one hundred twelve thousand, seven hundred forty".