334180121664 has 224 divisors, whose sum is σ = 938902343680. Its totient is φ = 104607479808.

The previous prime is 334180121663. The next prime is 334180121677. The reversal of 334180121664 is 466121081433.

It is a happy number.

It is a super-2 number, since 2×334180121664² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334180121663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225339867 + ... + 225341349.

It is an arithmetic number, because the mean of its divisors is an integer number (4191528320).

Almost surely, 2^334180121664 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 334180121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469451171840).

334180121664 is an abundant number, since it is smaller than the sum of its proper divisors (604722222016).

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

334180121664 is a wasteful number, since it uses less digits than its factorization.

334180121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 334180121664 in words is "three hundred thirty-four billion, one hundred eighty million, one hundred twenty-one thousand, six hundred sixty-four".