642333333246 has 64 divisors (see below), whose sum is σ = 1440916632576. Its totient is φ = 189177206400.

The previous prime is 642333333233. The next prime is 642333333251.

642333333246 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×642333333246² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642333333198 and 642333333207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080296 + ... + 2369028.

It is an arithmetic number, because the mean of its divisors is an integer number (22514322384).

Almost surely, 2^642333333246 is an apocalyptic number.

642333333246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642333333246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720458316288).

642333333246 is an abundant number, since it is smaller than the sum of its proper divisors (798583299330).

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

642333333246 is a wasteful number, since it uses less digits than its factorization.

642333333246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289697.

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 642333 and 333246, that added together give a palindrome (975579).

The spelling of 642333333246 in words is "six hundred forty-two billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred forty-six".