34513426443564 has 72 divisors (see below), whose sum is σ = 88688982760560. Its totient is φ = 11313770716800.

The previous prime is 34513426443523. The next prime is 34513426443577. The reversal of 34513426443564 is 46534462431543.

34513426443564 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 34 + 2 + 6 + 4 + 43 + 564 = 666.

It is a super-3 number, since 3×34513426443564³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34513426443564.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10356307 + ... + 13277045.

It is an arithmetic number, because the mean of its divisors is an integer number (1231791427230).

Almost surely, 2^{34513426443564} 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 34513426443564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44344491380280).

34513426443564 is an abundant number, since it is smaller than the sum of its proper divisors (54175556316996).

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

34513426443564 is a wasteful number, since it uses less digits than its factorization.

34513426443564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926191 (or 2926186 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 34513426443564 in words is "thirty-four trillion, five hundred thirteen billion, four hundred twenty-six million, four hundred forty-three thousand, five hundred sixty-four".