643226361120450 has 144 divisors (see below), whose sum is σ = 1739620140625536. Its totient is φ = 170387648496000.

The previous prime is 643226361120443. The next prime is 643226361120457. The reversal of 643226361120450 is 54021163622346.

643226361120450 is a `hidden beast` number, since 6 + 4 + 3 + 2 + 2 + 6 + 3 + 611 + 20 + 4 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (643226361120443) and next prime (643226361120457).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 643226361120396 and 643226361120405.

It is not an unprimeable number, because it can be changed into a prime (643226361120457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256128375 + ... + 258627525.

Almost surely, 2^{643226361120450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643226361120450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869810070312768).

643226361120450 is an abundant number, since it is smaller than the sum of its proper divisors (1096393779505086).

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

643226361120450 is a wasteful number, since it uses less digits than its factorization.

643226361120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502969 (or 2502961 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 643226361120450 in words is "six hundred forty-three trillion, two hundred twenty-six billion, three hundred sixty-one million, one hundred twenty thousand, four hundred fifty".