246454868454642 has 72 divisors (see below), whose sum is σ = 548830203585300. Its totient is φ = 79928023200768.

The previous prime is 246454868454611. The next prime is 246454868454701.

246454868454642 is a `hidden beast` number, since 2 + 4 + 6 + 4 + 5 + 4 + 86 + 84 + 5 + 464 + 2 = 666.

246454868454642 is nontrivially palindromic in base 10.

246454868454642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 239717993843241 + 6736874611401 = 15482829^2 + 2595549^2 .

It is a super-2 number, since 2×246454868454642² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 639735534 + ... + 640120662.

Almost surely, 2^{246454868454642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246454868454642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274415101792650).

246454868454642 is an abundant number, since it is smaller than the sum of its proper divisors (302375335130658).

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

246454868454642 is a wasteful number, since it uses less digits than its factorization.

246454868454642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411180 (or 411140 counting only the distinct ones).

The product of its digits is 5662310400, while the sum is 72.

The spelling of 246454868454642 in words is "two hundred forty-six trillion, four hundred fifty-four billion, eight hundred sixty-eight million, four hundred fifty-four thousand, six hundred forty-two".