34311054445120 has 112 divisors (see below), whose sum is σ = 83119367822400. Its totient is φ = 13486710712320.

The previous prime is 34311054445111. The next prime is 34311054445163. The reversal of 34311054445120 is 2154445011343.

It is a happy number.

It is a super-2 number, since 2×34311054445120² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34311054445120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49860190 + ... + 50543650.

It is an arithmetic number, because the mean of its divisors is an integer number (742137212700).

Almost surely, 2^{34311054445120} 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 34311054445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559683911200).

34311054445120 is an abundant number, since it is smaller than the sum of its proper divisors (48808313377280).

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

34311054445120 is a wasteful number, since it uses less digits than its factorization.

34311054445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686196 (or 686186 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 34311054445120 its reverse (2154445011343), we get a palindrome (36465499456463).

The spelling of 34311054445120 in words is "thirty-four trillion, three hundred eleven billion, fifty-four million, four hundred forty-five thousand, one hundred twenty".