643115122056 has 192 divisors, whose sum is σ = 1921986930240. Its totient is φ = 192646080000.

The previous prime is 643115121997. The next prime is 643115122063. The reversal of 643115122056 is 650221511346.

643115122056 is a `hidden beast` number, since 6 + 431 + 1 + 5 + 12 + 205 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 643115122056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52868631 + ... + 52880793.

It is an arithmetic number, because the mean of its divisors is an integer number (10010348595).

Almost surely, 2^643115122056 is an apocalyptic number.

643115122056 is a gapful number since it is divisible by the number (66) 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 643115122056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960993465120).

643115122056 is an abundant number, since it is smaller than the sum of its proper divisors (1278871808184).

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

643115122056 is a wasteful number, since it uses less digits than its factorization.

643115122056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 643115122056 in words is "six hundred forty-three billion, one hundred fifteen million, one hundred twenty-two thousand, fifty-six".