209814611328 has 96 divisors (see below), whose sum is σ = 690015340560. Its totient is φ = 59947029504.

The previous prime is 209814611309. The next prime is 209814611387. The reversal of 209814611328 is 823116418902.

209814611328 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 1 + 4 + 611 + 3 + 28 = 666.

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

It is a super-2 number, since 2×209814611328² (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 11 ways as a sum of consecutive naturals, for example, 13001275 + ... + 13017402.

Almost surely, 2^209814611328 is an apocalyptic number.

209814611328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

209814611328 is an abundant number, since it is smaller than the sum of its proper divisors (480200729232).

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

209814611328 is a wasteful number, since it uses less digits than its factorization.

209814611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26018704 (or 26018689 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 209814611328 in words is "two hundred nine billion, eight hundred fourteen million, six hundred eleven thousand, three hundred twenty-eight".