342458244381000 has 256 divisors, whose sum is σ = 1165626218016000. Its totient is φ = 83018550528000.

The previous prime is 342458244380933. The next prime is 342458244381007. The reversal of 342458244381000 is 183442854243.

It is a super-2 number, since 2×342458244381000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (342458244381007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347765854 + ... + 3347868146.

It is an arithmetic number, because the mean of its divisors is an integer number (4553227414125).

Almost surely, 2^{342458244381000} is an apocalyptic number.

342458244381000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342458244381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582813109008000).

342458244381000 is an abundant number, since it is smaller than the sum of its proper divisors (823167973635000).

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

342458244381000 is a wasteful number, since it uses less digits than its factorization.

342458244381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203777 (or 203763 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 342458244381000 in words is "three hundred forty-two trillion, four hundred fifty-eight billion, two hundred forty-four million, three hundred eighty-one thousand".