34556056542 has 256 divisors, whose sum is σ = 94312857600. Its totient is φ = 9274629600.

The previous prime is 34556056529. The next prime is 34556056559. The reversal of 34556056542 is 24565065543.

34556056542 is a `hidden beast` number, since 3 + 4 + 5 + 56 + 0 + 56 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 111112567 + ... + 111112877.

It is an arithmetic number, because the mean of its divisors is an integer number (368409600).

Almost surely, 2^34556056542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34556056542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47156428800).

34556056542 is an abundant number, since it is smaller than the sum of its proper divisors (59756801058).

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

34556056542 is a wasteful number, since it uses less digits than its factorization.

34556056542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Subtracting from 34556056542 its reverse (24565065543), we obtain a palindrome (9990990999).

The spelling of 34556056542 in words is "thirty-four billion, five hundred fifty-six million, fifty-six thousand, five hundred forty-two".