208621789212672 has 2496 divisors, whose sum is σ = 746535446092800. Its totient is φ = 55384190484480.

The previous prime is 208621789212659. The next prime is 208621789212709. The reversal of 208621789212672 is 276212987126802.

208621789212672 is a `hidden beast` number, since 2 + 0 + 86 + 217 + 89 + 2 + 1 + 267 + 2 = 666.

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 191 ways as a sum of consecutive naturals, for example, 911012179854 + ... + 911012180082.

It is an arithmetic number, because the mean of its divisors is an integer number (299092726800).

Almost surely, 2^{208621789212672} is an apocalyptic number.

208621789212672 is a gapful number since it is divisible by the number (22) 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 208621789212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373267723046400).

208621789212672 is an abundant number, since it is smaller than the sum of its proper divisors (537913656880128).

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

208621789212672 is a wasteful number, since it uses less digits than its factorization.

208621789212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 208621789212672 in words is "two hundred eight trillion, six hundred twenty-one billion, seven hundred eighty-nine million, two hundred twelve thousand, six hundred seventy-two".