41546955608064 has 208 divisors, whose sum is σ = 123417178244800. Its totient is φ = 13811842842624.

The previous prime is 41546955608027. The next prime is 41546955608203. The reversal of 41546955608064 is 46080655964514.

41546955608064 is a `hidden beast` number, since 4 + 1 + 5 + 4 + 6 + 9 + 5 + 560 + 8 + 0 + 64 = 666.

It is a super-2 number, since 2×41546955608064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41546955607992 and 41546955608010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40747227 + ... + 41754405.

Almost surely, 2^{41546955608064} 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 41546955608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61708589122400).

41546955608064 is an abundant number, since it is smaller than the sum of its proper divisors (81870222636736).

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

41546955608064 is a wasteful number, since it uses less digits than its factorization.

41546955608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007585 (or 1007557 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 41546955608064 in words is "forty-one trillion, five hundred forty-six billion, nine hundred fifty-five million, six hundred eight thousand, sixty-four".