334800254112 has 96 divisors (see below), whose sum is σ = 897356154240. Its totient is φ = 109274542080.

The previous prime is 334800254111. The next prime is 334800254119. The reversal of 334800254112 is 211452008433.

334800254112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×334800254112² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334800254111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689812 + ... + 1070252.

It is an arithmetic number, because the mean of its divisors is an integer number (9347459940).

Almost surely, 2^334800254112 is an apocalyptic number.

334800254112 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 334800254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448678077120).

334800254112 is an abundant number, since it is smaller than the sum of its proper divisors (562555900128).

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

334800254112 is a wasteful number, since it uses less digits than its factorization.

334800254112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380646 (or 380638 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 334800254112 in words is "three hundred thirty-four billion, eight hundred million, two hundred fifty-four thousand, one hundred twelve".