4883166117648 has 1440 divisors, whose sum is σ = 18662236040448. Its totient is φ = 1156013752320.

The previous prime is 4883166117629. The next prime is 4883166117653. The reversal of 4883166117648 is 8467116613884.

4883166117648 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 1 + 6 + 611 + 7 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×4883166117648² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35643548236 + ... + 35643548372.

Almost surely, 2^{4883166117648} is an apocalyptic number.

4883166117648 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 4883166117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331118020224).

4883166117648 is an abundant number, since it is smaller than the sum of its proper divisors (13779069922800).

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

4883166117648 is a wasteful number, since it uses less digits than its factorization.

4883166117648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 283 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 4883166117648 in words is "four trillion, eight hundred eighty-three billion, one hundred sixty-six million, one hundred seventeen thousand, six hundred forty-eight".