4935131712 has 504 divisors, whose sum is σ = 17757257856. Its totient is φ = 1330255872.

The previous prime is 4935131699. The next prime is 4935131717. The reversal of 4935131712 is 2171315394.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (22680) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935131717) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67604508 + ... + 67604580.

Almost surely, 2^4935131712 is an apocalyptic number.

4935131712 is a gapful number since it is divisible by the number (42) 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 4935131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878628928).

4935131712 is an abundant number, since it is smaller than the sum of its proper divisors (12822126144).

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

4935131712 is an frugal number, since it uses more digits than its factorization.

4935131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 4935131712 is about 70250.4926103725. The cubic root of 4935131712 is about 1702.5488538059.

The spelling of 4935131712 in words is "four billion, nine hundred thirty-five million, one hundred thirty-one thousand, seven hundred twelve".