34509452544 has 864 divisors, whose sum is σ = 128327879680. Its totient is φ = 9029615616.

The previous prime is 34509452539. The next prime is 34509452569. The reversal of 34509452544 is 44525490543.

34509452544 is a `hidden beast` number, since 3 + 4 + 50 + 9 + 4 + 52 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34509452544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355767504 + ... + 355767600.

Almost surely, 2^34509452544 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 34509452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64163939840).

34509452544 is an abundant number, since it is smaller than the sum of its proper divisors (93818427136).

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

34509452544 is an equidigital number, since it uses as much as digits as its factorization.

34509452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 34509452544 in words is "thirty-four billion, five hundred nine million, four hundred fifty-two thousand, five hundred forty-four".