210114071196408 has 384 divisors, whose sum is σ = 618458455480320. Its totient is φ = 66766247654400.

The previous prime is 210114071196383. The next prime is 210114071196409. The reversal of 210114071196408 is 804691170411012.

210114071196408 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 140 + 7 + 11 + 96 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210114071196409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792729841 + ... + 792994847.

It is an arithmetic number, because the mean of its divisors is an integer number (1610568894480).

Almost surely, 2^{210114071196408} 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 210114071196408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309229227740160).

210114071196408 is an abundant number, since it is smaller than the sum of its proper divisors (408344384283912).

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

210114071196408 is a wasteful number, since it uses less digits than its factorization.

210114071196408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265289 (or 265273 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 210114071196408 in words is "two hundred ten trillion, one hundred fourteen billion, seventy-one million, one hundred ninety-six thousand, four hundred eight".