643400163414 has 192 divisors, whose sum is σ = 1505924259840. Its totient is φ = 205735813920.

The previous prime is 643400163407. The next prime is 643400163421. The reversal of 643400163414 is 414361004346.

643400163414 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 0 + 0 + 1 + 634 + 14 = 666.

643400163414 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (643400163407) and next prime (643400163421).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 348347839 + ... + 348349685.

It is an arithmetic number, because the mean of its divisors is an integer number (7843355520).

Almost surely, 2^643400163414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643400163414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752962129920).

643400163414 is an abundant number, since it is smaller than the sum of its proper divisors (862524096426).

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

643400163414 is a wasteful number, since it uses less digits than its factorization.

643400163414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 643400163414 in words is "six hundred forty-three billion, four hundred million, one hundred sixty-three thousand, four hundred fourteen".