208980146304 has 96 divisors (see below), whose sum is σ = 608607745200. Its totient is φ = 68820739584.

The previous prime is 208980146293. The next prime is 208980146321. The reversal of 208980146304 is 403641089802.

It is a happy number.

208980146304 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 8 + 0 + 1 + 4 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×208980146304³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 208980146304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997194 + ... + 1188425.

Almost surely, 2^208980146304 is an apocalyptic number.

208980146304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

208980146304 is an abundant number, since it is smaller than the sum of its proper divisors (399627598896).

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

208980146304 is a wasteful number, since it uses less digits than its factorization.

208980146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185722 (or 2185707 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 208980146304 in words is "two hundred eight billion, nine hundred eighty million, one hundred forty-six thousand, three hundred four".