208768985460 has 432 divisors, whose sum is σ = 778458320640. Its totient is φ = 45030504960.

The previous prime is 208768985459. The next prime is 208768985461. The reversal of 208768985460 is 64589867802.

208768985460 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 6 + 89 + 8 + 546 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (208768985459) and next prime (208768985461).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208768985461) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45411882 + ... + 45416478.

Almost surely, 2^208768985460 is an apocalyptic number.

208768985460 is a gapful number since it is divisible by the number (20) 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 208768985460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389229160320).

208768985460 is an abundant number, since it is smaller than the sum of its proper divisors (569689335180).

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

208768985460 is a wasteful number, since it uses less digits than its factorization.

208768985460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 208768985460 in words is "two hundred eight billion, seven hundred sixty-eight million, nine hundred eighty-five thousand, four hundred sixty".