4753308688128 has 2592 divisors, whose sum is σ = 19796770925568. Its totient is φ = 1062744883200.

The previous prime is 4753308688109. The next prime is 4753308688229. The reversal of 4753308688128 is 8218868033574.

4753308688128 is a `hidden beast` number, since 4 + 7 + 533 + 0 + 8 + 6 + 88 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 42064678600 + ... + 42064678712.

It is an arithmetic number, because the mean of its divisors is an integer number (7637643104).

Almost surely, 2^{4753308688128} is an apocalyptic number.

4753308688128 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 4753308688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9898385462784).

4753308688128 is an abundant number, since it is smaller than the sum of its proper divisors (15043462237440).

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

4753308688128 is a wasteful number, since it uses less digits than its factorization.

4753308688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4753308688128 in words is "four trillion, seven hundred fifty-three billion, three hundred eight million, six hundred eighty-eight thousand, one hundred twenty-eight".