4966998461568 has 1536 divisors, whose sum is σ = 18228927225600. Its totient is φ = 1311444172800.

The previous prime is 4966998461567. The next prime is 4966998461653. The reversal of 4966998461568 is 8651648996694.

4966998461568 is a `hidden beast` number, since 4 + 9 + 6 + 6 + 9 + 9 + 8 + 46 + 1 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (4966998461563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68041074780 + ... + 68041074852.

Almost surely, 2^{4966998461568} is an apocalyptic number.

4966998461568 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 4966998461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114463612800).

4966998461568 is an abundant number, since it is smaller than the sum of its proper divisors (13261928764032).

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

4966998461568 is a wasteful number, since it uses less digits than its factorization.

4966998461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 200 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 81.

The spelling of 4966998461568 in words is "four trillion, nine hundred sixty-six billion, nine hundred ninety-eight million, four hundred sixty-one thousand, five hundred sixty-eight".