4829875098048 has 2016 divisors, whose sum is σ = 19491170811840. Its totient is φ = 1130374103040.

The previous prime is 4829875097987. The next prime is 4829875098049. The reversal of 4829875098048 is 8408905789284.

4829875098048 is a `hidden beast` number, since 482 + 9 + 8 + 7 + 50 + 98 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×4829875098048² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829875098049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49792526736 + ... + 49792526832.

It is an arithmetic number, because the mean of its divisors is an integer number (9668239490).

Almost surely, 2^{4829875098048} is an apocalyptic number.

4829875098048 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 4829875098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9745585405920).

4829875098048 is an abundant number, since it is smaller than the sum of its proper divisors (14661295713792).

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

4829875098048 is a wasteful number, since it uses less digits than its factorization.

4829875098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 4829875098048 in words is "four trillion, eight hundred twenty-nine billion, eight hundred seventy-five million, ninety-eight thousand, forty-eight".