634208178114 has 256 divisors, whose sum is σ = 1682073845760. Its totient is φ = 175548425472.

The previous prime is 634208178113. The next prime is 634208178133. The reversal of 634208178114 is 411871802436.

634208178114 is a `hidden beast` number, since 63 + 420 + 81 + 7 + 81 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 634208178114.

It is not an unprimeable number, because it can be changed into a prime (634208178113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167203002 + ... + 167206794.

It is an arithmetic number, because the mean of its divisors is an integer number (6570600960).

Almost surely, 2^634208178114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634208178114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841036922880).

634208178114 is an abundant number, since it is smaller than the sum of its proper divisors (1047865667646).

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

634208178114 is a wasteful number, since it uses less digits than its factorization.

634208178114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 634208178114 in words is "six hundred thirty-four billion, two hundred eight million, one hundred seventy-eight thousand, one hundred fourteen".