34056425162232 has 576 divisors, whose sum is σ = 107385778805760. Its totient is φ = 9727344000000.

The previous prime is 34056425162203. The next prime is 34056425162303. The reversal of 34056425162232 is 23226152465043.

34056425162232 is a `hidden beast` number, since 3 + 4 + 0 + 564 + 2 + 5 + 1 + 62 + 23 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7651407607 + ... + 7651412057.

It is an arithmetic number, because the mean of its divisors is an integer number (186433643760).

Almost surely, 2^{34056425162232} 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 34056425162232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53692889402880).

34056425162232 is an abundant number, since it is smaller than the sum of its proper divisors (73329353643528).

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

34056425162232 is a wasteful number, since it uses less digits than its factorization.

34056425162232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 34056425162232 in words is "thirty-four trillion, fifty-six billion, four hundred twenty-five million, one hundred sixty-two thousand, two hundred thirty-two".