342556552341504 has 480 divisors, whose sum is σ = 1038626619750720. Its totient is φ = 112466092032000.

The previous prime is 342556552341499. The next prime is 342556552341511. The reversal of 342556552341504 is 405143255655243.

It is a happy number.

342556552341504 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 5 + 6 + 552 + 34 + 1 + 50 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12378714612 + ... + 12378742284.

It is an arithmetic number, because the mean of its divisors is an integer number (2163805457814).

Almost surely, 2^{342556552341504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342556552341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519313309875360).

342556552341504 is an abundant number, since it is smaller than the sum of its proper divisors (696070067409216).

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

342556552341504 is a wasteful number, since it uses less digits than its factorization.

342556552341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829 (or 28800 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 54.

The spelling of 342556552341504 in words is "three hundred forty-two trillion, five hundred fifty-six billion, five hundred fifty-two million, three hundred forty-one thousand, five hundred four".