830917436272192 has 14 divisors (see below), whose sum is σ = 1648851787602758. Its totient is φ = 415458718136064.

The previous prime is 830917436272181. The next prime is 830917436272243. The reversal of 830917436272192 is 291272634719038.

It can be written as a sum of positive squares in only one way, i.e., 830081557610496 + 835878661696 = 28811136^2 + 914264^2 .

It is a super-3 number, since 3×830917436272192³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64), and also a Moran number because the ratio is a prime number: 12983084941753 = 830917436272192 / (8 + 3 + 0 + 9 + 1 + 7 + 4 + 3 + 6 + 2 + 7 + 2 + 1 + 9 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6491542470813 + ... + 6491542470940.

Almost surely, 2^{830917436272192} is an apocalyptic number.

It is an amenable number.

830917436272192 is a deficient number, since it is larger than the sum of its proper divisors (817934351330566).

830917436272192 is a wasteful number, since it uses less digits than its factorization.

830917436272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983084941765 (or 12983084941755 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 830917436272192 in words is "eight hundred thirty trillion, nine hundred seventeen billion, four hundred thirty-six million, two hundred seventy-two thousand, one hundred ninety-two".