830133634714857 has 96 divisors (see below), whose sum is σ = 1316060127083520. Its totient is φ = 500055714576000.

The previous prime is 830133634714807. The next prime is 830133634714957. The reversal of 830133634714857 is 758417436331038.

830133634714857 is a `hidden beast` number, since 8 + 3 + 0 + 13 + 3 + 63 + 471 + 48 + 57 = 666.

It is not a de Polignac number, because 830133634714857 - 2¹⁸ = 830133634452713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 830133634714794 and 830133634714803.

It is not an unprimeable number, because it can be changed into a prime (830133634714807) by changing a digit.

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 in 95 ways as a sum of consecutive naturals, for example, 56314600507 + ... + 56314615247.

It is an arithmetic number, because the mean of its divisors is an integer number (13708959657120).

Almost surely, 2^{830133634714857} is an apocalyptic number.

It is an amenable number.

830133634714857 is a deficient number, since it is larger than the sum of its proper divisors (485926492368663).

830133634714857 is a wasteful number, since it uses less digits than its factorization.

830133634714857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20235 (or 20232 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 830133634714857 in words is "eight hundred thirty trillion, one hundred thirty-three billion, six hundred thirty-four million, seven hundred fourteen thousand, eight hundred fifty-seven".