4761855416448 has 512 divisors, whose sum is σ = 16578154656000. Its totient is φ = 1331440975872.

The previous prime is 4761855416447. The next prime is 4761855416449. The reversal of 4761855416448 is 8446145581674.

It is a happy number.

4761855416448 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 85 + 541 + 6 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4761855416447) and next prime (4761855416449).

It is not an unprimeable number, because it can be changed into a prime (4761855416447) by changing a digit.

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, 22042011 + ... + 22256997.

Almost surely, 2^{4761855416448} is an apocalyptic number.

4761855416448 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 4761855416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289077328000).

4761855416448 is an abundant number, since it is smaller than the sum of its proper divisors (11816299239552).

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

4761855416448 is a wasteful number, since it uses less digits than its factorization.

4761855416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215069 (or 215051 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 4761855416448 in words is "four trillion, seven hundred sixty-one billion, eight hundred fifty-five million, four hundred sixteen thousand, four hundred forty-eight".