4831626025216 has 243 divisors, whose sum is σ = 10257283213569. Its totient is φ = 2271389313024.

The previous prime is 4831626025133. The next prime is 4831626025231. The reversal of 4831626025216 is 6125206261384.

It is a happy number.

The square root of 4831626025216 is 2198096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4323405318400 + 508220706816 = 2079280^2 + 712896^2 .

It is a super-2 number, since 2×4831626025216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61159823065 + ... + 61159823143.

Almost surely, 2^{4831626025216} is an apocalyptic number.

4831626025216 is the 2198096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4831626025216

4831626025216 is an abundant number, since it is smaller than the sum of its proper divisors (5425657188353).

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

4831626025216 is an frugal number, since it uses more digits than its factorization.

4831626025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 4831626025216 in words is "four trillion, eight hundred thirty-one billion, six hundred twenty-six million, twenty-five thousand, two hundred sixteen".