34133698464 has 96 divisors (see below), whose sum is σ = 91048224960. Its totient is φ = 11195584512.

The previous prime is 34133698453. The next prime is 34133698559. The reversal of 34133698464 is 46489633143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1496554 + ... + 1519190.

It is an arithmetic number, because the mean of its divisors is an integer number (948419010).

Almost surely, 2^34133698464 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 34133698464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45524112480).

34133698464 is an abundant number, since it is smaller than the sum of its proper divisors (56914526496).

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

34133698464 is a wasteful number, since it uses less digits than its factorization.

34133698464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22894 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 34133698464 in words is "thirty-four billion, one hundred thirty-three million, six hundred ninety-eight thousand, four hundred sixty-four".