334269949104 has 1440 divisors, whose sum is σ = 1333714636800. Its totient is φ = 77023457280.

The previous prime is 334269949103. The next prime is 334269949109. The reversal of 334269949104 is 401949962433.

334269949104 is a `hidden beast` number, since 334 + 269 + 9 + 49 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×334269949104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334269949103) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1242639082 + ... + 1242639350.

It is an arithmetic number, because the mean of its divisors is an integer number (926190720).

Almost surely, 2^334269949104 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 334269949104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666857318400).

334269949104 is an abundant number, since it is smaller than the sum of its proper divisors (999444687696).

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

334269949104 is a wasteful number, since it uses less digits than its factorization.

334269949104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 334269949104 in words is "three hundred thirty-four billion, two hundred sixty-nine million, nine hundred forty-nine thousand, one hundred four".