34468096440961 has 12 divisors (see below), whose sum is σ = 35268030600880. Its totient is φ = 33685911032040.

The previous prime is 34468096440919. The next prime is 34468096441003. The reversal of 34468096440961 is 16904469086443.

It is an interprime number because it is at equal distance from previous prime (34468096440919) and next prime (34468096441003).

It is not a de Polignac number, because 34468096440961 - 2²⁵ = 34468062886529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34468096440893 and 34468096440902.

It is not an unprimeable number, because it can be changed into a prime (34468096440161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9764091 + ... + 12816928.

Almost surely, 2^{34468096440961} is an apocalyptic number.

It is an amenable number.

34468096440961 is a deficient number, since it is larger than the sum of its proper divisors (799934159919).

34468096440961 is an equidigital number, since it uses as much as digits as its factorization.

34468096440961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22581804 (or 22581757 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 64.

The spelling of 34468096440961 in words is "thirty-four trillion, four hundred sixty-eight billion, ninety-six million, four hundred forty thousand, nine hundred sixty-one".