34056142848 has 768 divisors, whose sum is σ = 128243082240. Its totient is φ = 8790736896.

The previous prime is 34056142829. The next prime is 34056142853. The reversal of 34056142848 is 84824165043.

34056142848 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 614 + 28 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×34056142848² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724598761 + ... + 724598807.

It is an arithmetic number, because the mean of its divisors is an integer number (166983180).

Almost surely, 2^34056142848 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 34056142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64121541120).

34056142848 is an abundant number, since it is smaller than the sum of its proper divisors (94186939392).

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

34056142848 is an frugal number, since it uses more digits than its factorization.

34056142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34056142848 in words is "thirty-four billion, fifty-six million, one hundred forty-two thousand, eight hundred forty-eight".