4816751984100 has 405 divisors, whose sum is σ = 17624905410203. Its totient is φ = 1100234459520.

The previous prime is 4816751984063. The next prime is 4816751984101. The reversal of 4816751984100 is 14891576184.

The square root of 4816751984100 is 2194710.

It is a perfect power (a square), and thus also a powerful number.

4816751984100 is a `hidden beast` number, since 4 + 8 + 16 + 7 + 519 + 8 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 365732238564 + 4451019745536 = 604758^2 + 2109744^2 .

It is not an unprimeable number, because it can be changed into a prime (4816751984101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3226222954 + ... + 3226224446.

Almost surely, 2^{4816751984100} is an apocalyptic number.

4816751984100 is the 2194710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4816751984100

4816751984100 is an abundant number, since it is smaller than the sum of its proper divisors (12808153426103).

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

4816751984100 is an equidigital number, since it uses as much as digits as its factorization.

4816751984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 4816751984100 in words is "four trillion, eight hundred sixteen billion, seven hundred fifty-one million, nine hundred eighty-four thousand, one hundred".