34552420505505 has 96 divisors (see below), whose sum is σ = 70746551715840. Its totient is φ = 15265982545920.

The previous prime is 34552420505503. The next prime is 34552420505531. The reversal of 34552420505505 is 50550502425543.

34552420505505 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 42 + 0 + 50 + 550 + 5 = 666.

It is not a de Polignac number, because 34552420505505 - 2¹ = 34552420505503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34552420505503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5208639 + ... + 9809931.

It is an arithmetic number, because the mean of its divisors is an integer number (736943247040).

Almost surely, 2^{34552420505505} is an apocalyptic number.

34552420505505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34552420505505 is an abundant number, since it is smaller than the sum of its proper divisors (36194131210335).

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

34552420505505 is a wasteful number, since it uses less digits than its factorization.

34552420505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602111 (or 4602108 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 45.

The spelling of 34552420505505 in words is "thirty-four trillion, five hundred fifty-two billion, four hundred twenty million, five hundred five thousand, five hundred five".