34123819419432 has 96 divisors (see below), whose sum is σ = 96442300356480. Its totient is φ = 10879446948480.

The previous prime is 34123819419407. The next prime is 34123819419449. The reversal of 34123819419432 is 23491491832143.

34123819419432 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 3 + 8 + 194 + 19 + 432 = 666.

34123819419432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29365557 + ... + 30505467.

It is an arithmetic number, because the mean of its divisors is an integer number (1004607295380).

Almost surely, 2^{34123819419432} is an apocalyptic number.

It is an amenable number.

34123819419432 is an abundant number, since it is smaller than the sum of its proper divisors (62318480937048).

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

34123819419432 is a wasteful number, since it uses less digits than its factorization.

34123819419432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158023 (or 1158016 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 34123819419432 in words is "thirty-four trillion, one hundred twenty-three billion, eight hundred nineteen million, four hundred nineteen thousand, four hundred thirty-two".