335049729696 has 768 divisors, whose sum is σ = 1142636544000. Its totient is φ = 95704519680.

The previous prime is 335049729649. The next prime is 335049729739. The reversal of 335049729696 is 696927940533.

335049729696 is a `hidden beast` number, since 3 + 3 + 50 + 497 + 2 + 9 + 6 + 96 = 666.

It is a super-2 number, since 2×335049729696² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2248655830 + ... + 2248655978.

It is an arithmetic number, because the mean of its divisors is an integer number (1487808000).

Almost surely, 2^335049729696 is an apocalyptic number.

335049729696 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 335049729696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571318272000).

335049729696 is an abundant number, since it is smaller than the sum of its proper divisors (807586814304).

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

335049729696 is a wasteful number, since it uses less digits than its factorization.

335049729696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 335049729696 in words is "three hundred thirty-five billion, forty-nine million, seven hundred twenty-nine thousand, six hundred ninety-six".