4948252186320 has 240 divisors, whose sum is σ = 17008212386880. Its totient is φ = 1288553785344.

The previous prime is 4948252186279. The next prime is 4948252186321. The reversal of 4948252186320 is 236812528494.

4948252186320 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 2 + 521 + 86 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948252186321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158282851 + ... + 158314109.

It is an arithmetic number, because the mean of its divisors is an integer number (70867551612).

Almost surely, 2^{4948252186320} is an apocalyptic number.

4948252186320 is a gapful number since it is divisible by the number (40) 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 4948252186320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8504106193440).

4948252186320 is an abundant number, since it is smaller than the sum of its proper divisors (12059960200560).

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

4948252186320 is a wasteful number, since it uses less digits than its factorization.

4948252186320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36434 (or 36425 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4948252186320 in words is "four trillion, nine hundred forty-eight billion, two hundred fifty-two million, one hundred eighty-six thousand, three hundred twenty".