642888888888246 has 768 divisors, whose sum is σ = 1811179637600256. Its totient is φ = 147908851200000.

The previous prime is 642888888888223. The next prime is 642888888888251.

642888888888246 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×642888888888246² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64931707896 + ... + 64931717796.

It is an arithmetic number, because the mean of its divisors is an integer number (2358306819792).

Almost surely, 2^{642888888888246} is an apocalyptic number.

642888888888246 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 642888888888246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905589818800128).

642888888888246 is an abundant number, since it is smaller than the sum of its proper divisors (1168290748712010).

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

642888888888246 is a wasteful number, since it uses less digits than its factorization.

642888888888246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10338 counting only the distinct ones).

The product of its digits is 309237645312, while the sum is 96.

It can be divided in two parts, 642 and 888888888246, that added together give a palindrome (888888888888).

The spelling of 642888888888246 in words is "six hundred forty-two trillion, eight hundred eighty-eight billion, eight hundred eighty-eight million, eight hundred eighty-eight thousand, two hundred forty-six".