34225263265545 has 288 divisors, whose sum is σ = 70214402119680. Its totient is φ = 15252027425280.

The previous prime is 34225263265541. The next prime is 34225263265573. The reversal of 34225263265545 is 54556236252243.

34225263265545 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 5 + 2 + 6 + 32 + 65 + 545 = 666.

It is not a de Polignac number, because 34225263265545 - 2² = 34225263265541 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34225263265491 and 34225263265500.

It is not an unprimeable number, because it can be changed into a prime (34225263265541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4725284694 + ... + 4725291936.

It is an arithmetic number, because the mean of its divisors is an integer number (243800007360).

Almost surely, 2^{34225263265545} is an apocalyptic number.

It is an amenable number.

34225263265545 is an abundant number, since it is smaller than the sum of its proper divisors (35989138854135).

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

34225263265545 is a wasteful number, since it uses less digits than its factorization.

34225263265545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7685 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 34225263265545 in words is "thirty-four trillion, two hundred twenty-five billion, two hundred sixty-three million, two hundred sixty-five thousand, five hundred forty-five".