34052645126112 has 192 divisors, whose sum is σ = 90958717704960. Its totient is φ = 11153569996800.

The previous prime is 34052645126089. The next prime is 34052645126131. The reversal of 34052645126112 is 21162154625043.

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, 642706662 + ... + 642759642.

It is an arithmetic number, because the mean of its divisors is an integer number (473743321380).

Almost surely, 2^{34052645126112} is an apocalyptic number.

34052645126112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34052645126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45479358852480).

34052645126112 is an abundant number, since it is smaller than the sum of its proper divisors (56906072578848).

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

34052645126112 is a wasteful number, since it uses less digits than its factorization.

34052645126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53617 (or 53609 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 34052645126112 in words is "thirty-four trillion, fifty-two billion, six hundred forty-five million, one hundred twenty-six thousand, one hundred twelve".