342337314816 has 448 divisors, whose sum is σ = 1168965058560. Its totient is φ = 96984760320.

The previous prime is 342337314773. The next prime is 342337314827. The reversal of 342337314816 is 618413733243.

342337314816 is a `hidden beast` number, since 3 + 423 + 3 + 73 + 148 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×342337314816² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 196631706 + ... + 196633446.

Almost surely, 2^342337314816 is an apocalyptic number.

342337314816 is a gapful number since it is divisible by the number (36) 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 342337314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584482529280).

342337314816 is an abundant number, since it is smaller than the sum of its proper divisors (826627743744).

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

342337314816 is a wasteful number, since it uses less digits than its factorization.

342337314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1880 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 342337314816 in words is "three hundred forty-two billion, three hundred thirty-seven million, three hundred fourteen thousand, eight hundred sixteen".