246468864642 has 256 divisors, whose sum is σ = 681382195200. Its totient is φ = 57357020160.

The previous prime is 246468864613. The next prime is 246468864667.

246468864642 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113109909 + ... + 113112087.

It is an arithmetic number, because the mean of its divisors is an integer number (2661649200).

Almost surely, 2^246468864642 is an apocalyptic number.

246468864642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 246468864642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340691097600).

246468864642 is an abundant number, since it is smaller than the sum of its proper divisors (434913330558).

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

246468864642 is a wasteful number, since it uses less digits than its factorization.

246468864642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761.

The product of its digits is 84934656, while the sum is 60.

The spelling of 246468864642 in words is "two hundred forty-six billion, four hundred sixty-eight million, eight hundred sixty-four thousand, six hundred forty-two".