345545545533552 has 1440 divisors, whose sum is σ = 1308952927900800. Its totient is φ = 84086010150912.

The previous prime is 345545545533527. The next prime is 345545545533589. The reversal of 345545545533552 is 255335545545543.

345545545533552 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 4 + 5 + 5 + 45 + 5 + 33 + 552 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345545545533552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91100853768 + ... + 91100857560.

It is an arithmetic number, because the mean of its divisors is an integer number (908995088820).

Almost surely, 2^{345545545533552} 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 345545545533552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654476463950400).

345545545533552 is an abundant number, since it is smaller than the sum of its proper divisors (963407382367248).

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

345545545533552 is a wasteful number, since it uses less digits than its factorization.

345545545533552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5359 counting only the distinct ones).

The product of its digits is 1350000000, while the sum is 63.

The spelling of 345545545533552 in words is "three hundred forty-five trillion, five hundred forty-five billion, five hundred forty-five million, five hundred thirty-three thousand, five hundred fifty-two".