34456043142 has 64 divisors (see below), whose sum is σ = 77468184000. Its totient is φ = 11350886400.

The previous prime is 34456043137. The next prime is 34456043161. The reversal of 34456043142 is 24134065443.

34456043142 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 604 + 3 + 1 + 42 = 666.

34456043142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34456043097 and 34456043106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3141484 + ... + 3152432.

It is an arithmetic number, because the mean of its divisors is an integer number (1210440375).

Almost surely, 2^34456043142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34456043142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38734092000).

34456043142 is an abundant number, since it is smaller than the sum of its proper divisors (43012140858).

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

34456043142 is a wasteful number, since it uses less digits than its factorization.

34456043142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11632 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34456043142 in words is "thirty-four billion, four hundred fifty-six million, forty-three thousand, one hundred forty-two".