342884588656896 has 432 divisors, whose sum is σ = 1161528637581312. Its totient is φ = 95905824768000.

The previous prime is 342884588656873. The next prime is 342884588656903. The reversal of 342884588656896 is 698656885488243.

342884588656896 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 8 + 458 + 8 + 6 + 5 + 68 + 96 = 666.

It is a super-2 number, since 2×342884588656896² (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 47 ways as a sum of consecutive naturals, for example, 10343097921 + ... + 10343131071.

Almost surely, 2^{342884588656896} is an apocalyptic number.

342884588656896 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 342884588656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580764318790656).

342884588656896 is an abundant number, since it is smaller than the sum of its proper divisors (818644048924416).

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

342884588656896 is a wasteful number, since it uses less digits than its factorization.

342884588656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64590 (or 64573 counting only the distinct ones).

The product of its digits is 152882380800, while the sum is 90.

The spelling of 342884588656896 in words is "three hundred forty-two trillion, eight hundred eighty-four billion, five hundred eighty-eight million, six hundred fifty-six thousand, eight hundred ninety-six".