642345543246 has 64 divisors (see below), whose sum is σ = 1441079216640. Its totient is φ = 189163013760.

The previous prime is 642345543199. The next prime is 642345543247.

642345543246 is nontrivially palindromic in base 10.

642345543246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 642345543195 and 642345543204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642345543247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892080 + ... + 2205596.

It is an arithmetic number, because the mean of its divisors is an integer number (22516862760).

Almost surely, 2^642345543246 is an apocalyptic number.

642345543246 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 642345543246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720539608320).

642345543246 is an abundant number, since it is smaller than the sum of its proper divisors (798733673394).

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

642345543246 is a wasteful number, since it uses less digits than its factorization.

642345543246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314409.

The product of its digits is 8294400, while the sum is 48.

The spelling of 642345543246 in words is "six hundred forty-two billion, three hundred forty-five million, five hundred forty-three thousand, two hundred forty-six".