208956258732156 has 192 divisors, whose sum is σ = 545132382068736. Its totient is φ = 61882189689600.

The previous prime is 208956258732149. The next prime is 208956258732157. The reversal of 208956258732156 is 651237852659802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208956258732157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919559905 + ... + 919787111.

It is an arithmetic number, because the mean of its divisors is an integer number (2839231156608).

Almost surely, 2^{208956258732156} is an apocalyptic number.

208956258732156 is a gapful number since it is divisible by the number (26) 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 208956258732156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272566191034368).

208956258732156 is an abundant number, since it is smaller than the sum of its proper divisors (336176123336580).

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

208956258732156 is a wasteful number, since it uses less digits than its factorization.

208956258732156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229272 (or 229270 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 69.

The spelling of 208956258732156 in words is "two hundred eight trillion, nine hundred fifty-six billion, two hundred fifty-eight million, seven hundred thirty-two thousand, one hundred fifty-six".