334354116096 has 960 divisors, whose sum is σ = 1306221396480. Its totient is φ = 79511224320.

The previous prime is 334354116073. The next prime is 334354116139. The reversal of 334354116096 is 690611453433.

It is a happy number.

334354116096 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 541 + 16 + 0 + 96 = 666.

It is a super-2 number, since 2×334354116096² (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 797980975 + ... + 797981393.

It is an arithmetic number, because the mean of its divisors is an integer number (1360647288).

Almost surely, 2^334354116096 is an apocalyptic number.

334354116096 is a gapful number since it is divisible by the number (36) 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 334354116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653110698240).

334354116096 is an abundant number, since it is smaller than the sum of its proper divisors (971867280384).

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

334354116096 is a wasteful number, since it uses less digits than its factorization.

334354116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 334354116096 in words is "three hundred thirty-four billion, three hundred fifty-four million, one hundred sixteen thousand, ninety-six".