34456111033 has 8 divisors (see below), whose sum is σ = 34932517256. Its totient is φ = 33979824000.

The previous prime is 34456111031. The next prime is 34456111057. The reversal of 34456111033 is 33011165443.

34456111033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 597166969 + 33858944064 = 24437^2 + 184008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34456111033 - 2¹ = 34456111031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34456110986 and 34456111004.

It is not an unprimeable number, because it can be changed into a prime (34456111031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662683 + ... + 712783.

It is an arithmetic number, because the mean of its divisors is an integer number (4366564657).

Almost surely, 2^34456111033 is an apocalyptic number.

It is an amenable number.

34456111033 is a deficient number, since it is larger than the sum of its proper divisors (476406223).

34456111033 is an equidigital number, since it uses as much as digits as its factorization.

34456111033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59595.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 34456111033 its reverse (33011165443), we get a palindrome (67467276476).

The spelling of 34456111033 in words is "thirty-four billion, four hundred fifty-six million, one hundred eleven thousand, thirty-three".