45051122168208 has 320 divisors, whose sum is σ = 145408553256960. Its totient is φ = 13250693491200.

The previous prime is 45051122168167. The next prime is 45051122168219. The reversal of 45051122168208 is 80286122115054.

45051122168208 is a `hidden beast` number, since 4 + 50 + 511 + 2 + 2 + 1 + 6 + 82 + 0 + 8 = 666.

It is a super-4 number, since 4×45051122168208⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 202811923 + ... + 203033933.

It is an arithmetic number, because the mean of its divisors is an integer number (454401728928).

Almost surely, 2^{45051122168208} is an apocalyptic number.

45051122168208 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 45051122168208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72704276628480).

45051122168208 is an abundant number, since it is smaller than the sum of its proper divisors (100357431088752).

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

45051122168208 is a wasteful number, since it uses less digits than its factorization.

45051122168208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223635 (or 223623 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 45051122168208 in words is "forty-five trillion, fifty-one billion, one hundred twenty-two million, one hundred sixty-eight thousand, two hundred eight".