342046382294016 has 165 divisors, whose sum is σ = 1021433275408909. Its totient is φ = 114013685293056.

The previous prime is 342046382293997. The next prime is 342046382294017. The reversal of 342046382294016 is 610492283640243.

The square root of 342046382294016 is 18494496.

It is a perfect power (a square), and thus also a powerful number.

342046382294016 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 4 + 6 + 3 + 8 + 229 + 401 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92889501926400 + 249156880367616 = 9637920^2 + 15784704^2 .

It is a super-4 number, since 4×342046382294016⁴ (a number of 59 digits) contains 4444 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342046382294017) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5326382740 + ... + 5326446956.

Almost surely, 2^{342046382294016} is an apocalyptic number.

342046382294016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

342046382294016 is the 18494496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342046382294016

342046382294016 is an abundant number, since it is smaller than the sum of its proper divisors (679386893114893).

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

342046382294016 is an frugal number, since it uses more digits than its factorization.

342046382294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128466 (or 64222 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 342046382294016 in words is "three hundred forty-two trillion, forty-six billion, three hundred eighty-two million, two hundred ninety-four thousand, sixteen".