4806689121024 has 288 divisors, whose sum is σ = 15090127933440. Its totient is φ = 1329906733056.

The previous prime is 4806689121023. The next prime is 4806689121041. The reversal of 4806689121024 is 4201219866084.

It is a super-3 number, since 3×4806689121024³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4806689121023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21138237 + ... + 21364419.

Almost surely, 2^{4806689121024} 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 4806689121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545063966720).

4806689121024 is an abundant number, since it is smaller than the sum of its proper divisors (10283438812416).

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

4806689121024 is a wasteful number, since it uses less digits than its factorization.

4806689121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226335 (or 226321 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 4806689121024 in words is "four trillion, eight hundred six billion, six hundred eighty-nine million, one hundred twenty-one thousand, twenty-four".