345942864046080 has 4608 divisors, whose sum is σ = 1560151756800000. Its totient is φ = 70523750449152.

The previous prime is 345942864046049. The next prime is 345942864046217. The reversal of 345942864046080 is 80640468249543.

It is a happy number.

345942864046080 is a `hidden beast` number, since 3 + 4 + 5 + 94 + 2 + 8 + 6 + 4 + 0 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 345942864045999 and 345942864046017.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1091302410082 + ... + 1091302410398.

It is an arithmetic number, because the mean of its divisors is an integer number (338574600000).

Almost surely, 2^{345942864046080} is an apocalyptic number.

345942864046080 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 345942864046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780075878400000).

345942864046080 is an abundant number, since it is smaller than the sum of its proper divisors (1214208892753920).

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

345942864046080 is a wasteful number, since it uses less digits than its factorization.

345942864046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 345942864046080 in words is "three hundred forty-five trillion, nine hundred forty-two billion, eight hundred sixty-four million, forty-six thousand, eighty".