208139428170432 has 672 divisors, whose sum is σ = 696338236805120. Its totient is φ = 60856195276800.

The previous prime is 208139428170407. The next prime is 208139428170439. The reversal of 208139428170432 is 234071824931802.

208139428170432 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 3 + 9 + 428 + 170 + 43 + 2 = 666.

It is a super-2 number, since 2×208139428170432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (208139428170439) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2184294693 + ... + 2184389979.

Almost surely, 2^{208139428170432} is an apocalyptic number.

208139428170432 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 208139428170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348169118402560).

208139428170432 is an abundant number, since it is smaller than the sum of its proper divisors (488198808634688).

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

208139428170432 is a wasteful number, since it uses less digits than its factorization.

208139428170432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95698 (or 95671 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 208139428170432 in words is "two hundred eight trillion, one hundred thirty-nine billion, four hundred twenty-eight million, one hundred seventy thousand, four hundred thirty-two".