34849594623168 has 1680 divisors, whose sum is σ = 122019890762880. Its totient is φ = 9792434995200.

The previous prime is 34849594623163. The next prime is 34849594623187. The reversal of 34849594623168 is 86132649594843.

34849594623168 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 9 + 594 + 6 + 23 + 1 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1074954240) is a multiple of the sum of its prime factors (648).

It is a junction number, because it is equal to n+sod(n) for n = 34849594623096 and 34849594623105.

It is not an unprimeable number, because it can be changed into a prime (34849594623163) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80857527913 + ... + 80857528343.

Almost surely, 2^{34849594623168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34849594623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61009945381440).

34849594623168 is an abundant number, since it is smaller than the sum of its proper divisors (87170296139712).

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

34849594623168 is a wasteful number, since it uses less digits than its factorization.

34849594623168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 34849594623168 in words is "thirty-four trillion, eight hundred forty-nine billion, five hundred ninety-four million, six hundred twenty-three thousand, one hundred sixty-eight".