41564454048 has 672 divisors, whose sum is σ = 141596138880. Its totient is φ = 11906611200.

The previous prime is 41564454047. The next prime is 41564454049. The reversal of 41564454048 is 84045446514.

41564454048 is a `hidden beast` number, since 4 + 1 + 5 + 64 + 4 + 540 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (41564454047) and next prime (41564454049).

It is a junction number, because it is equal to n+sod(n) for n = 41564453994 and 41564454012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41564454047) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 411529198 + ... + 411529298.

It is an arithmetic number, because the mean of its divisors is an integer number (210708540).

Almost surely, 2^41564454048 is an apocalyptic number.

41564454048 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 41564454048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70798069440).

41564454048 is an abundant number, since it is smaller than the sum of its proper divisors (100031684832).

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

41564454048 is a wasteful number, since it uses less digits than its factorization.

41564454048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 41564454048 in words is "forty-one billion, five hundred sixty-four million, four hundred fifty-four thousand, forty-eight".