34496213422112 has 54 divisors (see below), whose sum is σ = 73541387614653. Its totient is φ = 15921129923712.

The previous prime is 34496213422057. The next prime is 34496213422169. The reversal of 34496213422112 is 21122431269443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 29495283073936 + 5000930348176 = 5430956^2 + 2236276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4153084.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 431880803 + ... + 431960669.

Almost surely, 2^{34496213422112} is an apocalyptic number.

34496213422112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34496213422112 is an abundant number, since it is smaller than the sum of its proper divisors (39045174192541).

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

34496213422112 is an frugal number, since it uses more digits than its factorization.

34496213422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159770 (or 79882 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The spelling of 34496213422112 in words is "thirty-four trillion, four hundred ninety-six billion, two hundred thirteen million, four hundred twenty-two thousand, one hundred twelve".