1034696055168 has 192 divisors, whose sum is σ = 3043656907200. Its totient is φ = 337303194624.

The previous prime is 1034696055167. The next prime is 1034696055221. The reversal of 1034696055168 is 8615506964301.

1034696055168 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 69 + 60 + 5 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034696055167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10680355 + ... + 10776797.

It is an arithmetic number, because the mean of its divisors is an integer number (15852379725).

Almost surely, 2^{1034696055168} is an apocalyptic number.

1034696055168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034696055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521828453600).

1034696055168 is an abundant number, since it is smaller than the sum of its proper divisors (2008960852032).

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

1034696055168 is a wasteful number, since it uses less digits than its factorization.

1034696055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96669 (or 96654 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1034696055168 in words is "one trillion, thirty-four billion, six hundred ninety-six million, fifty-five thousand, one hundred sixty-eight".