334816547828049 has 81 divisors (see below), whose sum is σ = 574838440599657. Its totient is φ = 187242923217168.

The previous prime is 334816547828041. The next prime is 334816547828051. The reversal of 334816547828049 is 940828745618433.

The square root of 334816547828049 is 18297993.

It is a perfect power (a square), and thus also a powerful number.

334816547828049 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 16 + 547 + 8 + 28 + 0 + 49 = 666.

It is not a de Polignac number, because 334816547828049 - 2³ = 334816547828041 is a prime.

It is a super-2 number, since 2×334816547828049² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334816547828041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18060109822 + ... + 18060128360.

It is a 1-persistent number, because it is pandigital, but 2⋅334816547828049 = 669633095656098 is not.

Almost surely, 2^{334816547828049} is an apocalyptic number.

334816547828049 is the 18297993-rd square number.

334816547828049 is the 9148997-th centered octagonal number.

It is an amenable number.

334816547828049 is a deficient number, since it is larger than the sum of its proper divisors (240021892771608).

334816547828049 is an frugal number, since it uses more digits than its factorization.

334816547828049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37192 (or 18596 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 334816547828049 in words is "three hundred thirty-four trillion, eight hundred sixteen billion, five hundred forty-seven million, eight hundred twenty-eight thousand, forty-nine".