4936731612288 has 256 divisors, whose sum is σ = 15550986977280. Its totient is φ = 1357843968000.

The previous prime is 4936731612251. The next prime is 4936731612313. The reversal of 4936731612288 is 8822161376394.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15760558 + ... + 16070738.

It is an arithmetic number, because the mean of its divisors is an integer number (60746042880).

Almost surely, 2^{4936731612288} is an apocalyptic number.

4936731612288 is a gapful number since it is divisible by the number (48) 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 4936731612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775493488640).

4936731612288 is an abundant number, since it is smaller than the sum of its proper divisors (10614255364992).

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

4936731612288 is a wasteful number, since it uses less digits than its factorization.

4936731612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310427 (or 310415 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 4936731612288 in words is "four trillion, nine hundred thirty-six billion, seven hundred thirty-one million, six hundred twelve thousand, two hundred eighty-eight".