4755174218496 has 576 divisors, whose sum is σ = 15916631270400. Its totient is φ = 1389363757056.

The previous prime is 4755174218441. The next prime is 4755174218503. The reversal of 4755174218496 is 6948124715574.

It is a happy number.

4755174218496 is a `hidden beast` number, since 4 + 7 + 5 + 51 + 74 + 21 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4755174218496² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287261356 + ... + 287277908.

It is an arithmetic number, because the mean of its divisors is an integer number (27633040400).

Almost surely, 2^{4755174218496} is an apocalyptic number.

4755174218496 is a gapful number since it is divisible by the number (46) 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 4755174218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958315635200).

4755174218496 is an abundant number, since it is smaller than the sum of its proper divisors (11161457051904).

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

4755174218496 is a wasteful number, since it uses less digits than its factorization.

4755174218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16753 (or 16733 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 4755174218496 in words is "four trillion, seven hundred fifty-five billion, one hundred seventy-four million, two hundred eighteen thousand, four hundred ninety-six".