208185145056 has 144 divisors (see below), whose sum is σ = 701661227904. Its totient is φ = 59481454464.

The previous prime is 208185145039. The next prime is 208185145087. The reversal of 208185145056 is 650541581802.

208185145056 is a `hidden beast` number, since 2 + 0 + 81 + 8 + 514 + 5 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×208185145056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857910 + ... + 1966773.

It is an arithmetic number, because the mean of its divisors is an integer number (4872647416).

Almost surely, 2^208185145056 is an apocalyptic number.

It is an amenable number.

208185145056 is an abundant number, since it is smaller than the sum of its proper divisors (493476082848).

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

208185145056 is an equidigital number, since it uses as much as digits as its factorization.

208185145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824715 (or 3824695 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 208185145056 in words is "two hundred eight billion, one hundred eighty-five million, one hundred forty-five thousand, fifty-six".