334386129096 has 160 divisors (see below), whose sum is σ = 981627387840. Its totient is φ = 106145119872.

The previous prime is 334386129071. The next prime is 334386129097. The reversal of 334386129096 is 690921683433.

334386129096 is a `hidden beast` number, since 3 + 343 + 8 + 6 + 1 + 290 + 9 + 6 = 666.

It is a super-2 number, since 2×334386129096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (334386129097) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3333790 + ... + 3432626.

It is an arithmetic number, because the mean of its divisors is an integer number (6135171174).

Almost surely, 2^334386129096 is an apocalyptic number.

334386129096 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 334386129096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490813693920).

334386129096 is an abundant number, since it is smaller than the sum of its proper divisors (647241258744).

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

334386129096 is a wasteful number, since it uses less digits than its factorization.

334386129096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99105 (or 99092 counting only the distinct ones).

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

The spelling of 334386129096 in words is "three hundred thirty-four billion, three hundred eighty-six million, one hundred twenty-nine thousand, ninety-six".