643442364451125 has 256 divisors, whose sum is σ = 1258566329180160. Its totient is φ = 323848627200000.

The previous prime is 643442364451109. The next prime is 643442364451157. The reversal of 643442364451125 is 521154463244346.

It is a happy number.

643442364451125 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 4 + 2 + 3 + 64 + 451 + 125 = 666.

It is not a de Polignac number, because 643442364451125 - 2⁴ = 643442364451109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9527223357 + ... + 9527290893.

It is an arithmetic number, because the mean of its divisors is an integer number (4916274723360).

Almost surely, 2^{643442364451125} is an apocalyptic number.

It is an amenable number.

643442364451125 is a deficient number, since it is larger than the sum of its proper divisors (615123964729035).

643442364451125 is a wasteful number, since it uses less digits than its factorization.

643442364451125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69854 (or 69838 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 643442364451125 in words is "six hundred forty-three trillion, four hundred forty-two billion, three hundred sixty-four million, four hundred fifty-one thousand, one hundred twenty-five".