34214245113200 has 120 divisors (see below), whose sum is σ = 86528636812800. Its totient is φ = 12965006810880.

The previous prime is 34214245113199. The next prime is 34214245113277. The reversal of 34214245113200 is 231154241243.

It is a super-2 number, since 2×34214245113200² (a number of 28 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 23 ways as a sum of consecutive naturals, for example, 435129089 + ... + 435207711.

It is an arithmetic number, because the mean of its divisors is an integer number (721071973440).

Almost surely, 2^{34214245113200} is an apocalyptic number.

It is an amenable number.

34214245113200 is an abundant number, since it is smaller than the sum of its proper divisors (52314391699600).

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

34214245113200 is a wasteful number, since it uses less digits than its factorization.

34214245113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135919 (or 135908 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 34214245113200 its reverse (231154241243), we get a palindrome (34445399354443).

The spelling of 34214245113200 in words is "thirty-four trillion, two hundred fourteen billion, two hundred forty-five million, one hundred thirteen thousand, two hundred".