34440179848164 has 144 divisors (see below), whose sum is σ = 89584613926080. Its totient is φ = 11147988683520.

The previous prime is 34440179848163. The next prime is 34440179848169. The reversal of 34440179848164 is 46184897104443.

34440179848164 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 1 + 7 + 98 + 481 + 64 = 666.

It is a super-2 number, since 2×34440179848164² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34440179848163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513223687 + ... + 3513233489.

Almost surely, 2^{34440179848164} 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 34440179848164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44792306963040).

34440179848164 is an abundant number, since it is smaller than the sum of its proper divisors (55144434077916).

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

34440179848164 is a wasteful number, since it uses less digits than its factorization.

34440179848164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14730 (or 14725 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 34440179848164 in words is "thirty-four trillion, four hundred forty billion, one hundred seventy-nine million, eight hundred forty-eight thousand, one hundred sixty-four".