4933165161600 has 2304 divisors, whose sum is σ = 20459996726400. Its totient is φ = 1173850030080.

The previous prime is 4933165161577. The next prime is 4933165161611. The reversal of 4933165161600 is 61615613394.

4933165161600 is a `hidden beast` number, since 4 + 9 + 3 + 31 + 6 + 5 + 1 + 6 + 1 + 600 = 666.

It is a super-2 number, since 2×4933165161600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 50857372752 + ... + 50857372848.

Almost surely, 2^{4933165161600} is an apocalyptic number.

4933165161600 is a gapful number since it is divisible by the number (40) 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 4933165161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229998363200).

4933165161600 is an abundant number, since it is smaller than the sum of its proper divisors (15526831564800).

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

4933165161600 is an equidigital number, since it uses as much as digits as its factorization.

4933165161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 4933165161600 in words is "four trillion, nine hundred thirty-three billion, one hundred sixty-five million, one hundred sixty-one thousand, six hundred".