642333606333246 has 64 divisors (see below), whose sum is σ = 1431660094824960. Its totient is φ = 213473404609920.

The previous prime is 642333606333239. The next prime is 642333606333283.

642333606333246 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 3 + 3 + 60 + 6 + 333 + 246 = 666.

642333606333246 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 642333606333192 and 642333606333201.

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, 2301743695 + ... + 2302022741.

It is an arithmetic number, because the mean of its divisors is an integer number (22369688981640).

Almost surely, 2^{642333606333246} is an apocalyptic number.

642333606333246 is an abundant number, since it is smaller than the sum of its proper divisors (789326488491714).

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

642333606333246 is a wasteful number, since it uses less digits than its factorization.

642333606333246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405886 (or 405880 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 54.

The spelling of 642333606333246 in words is "six hundred forty-two trillion, three hundred thirty-three billion, six hundred six million, three hundred thirty-three thousand, two hundred forty-six".