4834629294096 has 320 divisors, whose sum is σ = 14702854957056. Its totient is φ = 1340444160000.

The previous prime is 4834629294017. The next prime is 4834629294097. The reversal of 4834629294096 is 6904929264384.

It is a super-2 number, since 2×4834629294096² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4834629294097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611004596 + ... + 1611007596.

Almost surely, 2^{4834629294096} 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 4834629294096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351427478528).

4834629294096 is an abundant number, since it is smaller than the sum of its proper divisors (9868225662960).

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

4834629294096 is a wasteful number, since it uses less digits than its factorization.

4834629294096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 66.

The spelling of 4834629294096 in words is "four trillion, eight hundred thirty-four billion, six hundred twenty-nine million, two hundred ninety-four thousand, ninety-six".