34581159456 has 192 divisors, whose sum is σ = 100247777280. Its totient is φ = 10389012480.

The previous prime is 34581159439. The next prime is 34581159541. The reversal of 34581159456 is 65495118543.

It is a junction number, because it is equal to n+sod(n) for n = 34581159399 and 34581159408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8094601 + ... + 8098871.

It is an arithmetic number, because the mean of its divisors is an integer number (522123840).

Almost surely, 2^34581159456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34581159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50123888640).

34581159456 is an abundant number, since it is smaller than the sum of its proper divisors (65666617824).

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

34581159456 is a wasteful number, since it uses less digits than its factorization.

34581159456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4511 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The spelling of 34581159456 in words is "thirty-four billion, five hundred eighty-one million, one hundred fifty-nine thousand, four hundred fifty-six".