4905247666176 has 1664 divisors, whose sum is σ = 17921289415680. Its totient is φ = 1305870336000.

The previous prime is 4905247666153. The next prime is 4905247666177. The reversal of 4905247666176 is 6716667425094.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×4905247666176² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905247666177) 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 127 ways as a sum of consecutive naturals, for example, 48566808526 + ... + 48566808626.

Almost surely, 2^{4905247666176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4905247666176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960644707840).

4905247666176 is an abundant number, since it is smaller than the sum of its proper divisors (13016041749504).

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

4905247666176 is a wasteful number, since it uses less digits than its factorization.

4905247666176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 4905247666176 in words is "four trillion, nine hundred five billion, two hundred forty-seven million, six hundred sixty-six thousand, one hundred seventy-six".