208261125936 has 240 divisors, whose sum is σ = 599954933760. Its totient is φ = 67418956800.

The previous prime is 208261125911. The next prime is 208261125953. The reversal of 208261125936 is 639521162802.

208261125936 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 611 + 25 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×208261125936² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208261125891 and 208261125900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346524036 + ... + 346524636.

It is an arithmetic number, because the mean of its divisors is an integer number (2499812224).

Almost surely, 2^208261125936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208261125936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299977466880).

208261125936 is an abundant number, since it is smaller than the sum of its proper divisors (391693807824).

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

208261125936 is a wasteful number, since it uses less digits than its factorization.

208261125936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 208261125936 in words is "two hundred eight billion, two hundred sixty-one million, one hundred twenty-five thousand, nine hundred thirty-six".