3006625251168 has 1152 divisors, whose sum is σ = 11922901401600. Its totient is φ = 713388902400.

The previous prime is 3006625251127. The next prime is 3006625251169. The reversal of 3006625251168 is 8611525266003.

3006625251168 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 6 + 2 + 525 + 116 + 8 = 666.

It is a super-2 number, since 2×3006625251168² (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 (3006625251169) 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, 10854242646 + ... + 10854242922.

It is an arithmetic number, because the mean of its divisors is an integer number (10349740800).

Almost surely, 2^{3006625251168} is an apocalyptic number.

3006625251168 is a gapful number since it is divisible by the number (38) 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 3006625251168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961450700800).

3006625251168 is an abundant number, since it is smaller than the sum of its proper divisors (8916276150432).

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

3006625251168 is a wasteful number, since it uses less digits than its factorization.

3006625251168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3006625251168 in words is "three trillion, six billion, six hundred twenty-five million, two hundred fifty-one thousand, one hundred sixty-eight".