34145442055533 has 16 divisors (see below), whose sum is σ = 46517517386496. Its totient is φ = 22268947303680.

The previous prime is 34145442055511. The next prime is 34145442055573. The reversal of 34145442055533 is 33555024454143.

It is a de Polignac number, because none of the positive numbers 2^k-34145442055533 is a prime.

It is a super-2 number, since 2×34145442055533² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145442055573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55935688 + ... + 56542833.

It is an arithmetic number, because the mean of its divisors is an integer number (2907344836656).

Almost surely, 2^{34145442055533} is an apocalyptic number.

It is an amenable number.

34145442055533 is a deficient number, since it is larger than the sum of its proper divisors (12372075330963).

34145442055533 is a wasteful number, since it uses less digits than its factorization.

34145442055533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112480724.

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 34145442055533 in words is "thirty-four trillion, one hundred forty-five billion, four hundred forty-two million, fifty-five thousand, five hundred thirty-three".