4935169248 has 96 divisors (see below), whose sum is σ = 13954332672. Its totient is φ = 1522752000.

The previous prime is 4935169229. The next prime is 4935169259. The reversal of 4935169248 is 8429615394.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4935169248³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4935169248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32398 + ... + 104498.

It is an arithmetic number, because the mean of its divisors is an integer number (145357632).

Almost surely, 2^4935169248 is an apocalyptic number.

4935169248 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 4935169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977166336).

4935169248 is an abundant number, since it is smaller than the sum of its proper divisors (9019163424).

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

4935169248 is a wasteful number, since it uses less digits than its factorization.

4935169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72168 (or 72160 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 4935169248 is about 70250.7597681335. The cubic root of 4935169248 is about 1702.5531702534.

The spelling of 4935169248 in words is "four billion, nine hundred thirty-five million, one hundred sixty-nine thousand, two hundred forty-eight".