41745493206648 has 576 divisors, whose sum is σ = 148973272761600. Its totient is φ = 10791526838400.

The previous prime is 41745493206647. The next prime is 41745493206649. The reversal of 41745493206648 is 84660239454714.

41745493206648 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 549 + 3 + 20 + 6 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41745493206647) and next prime (41745493206649).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41745493206647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270142861 + ... + 270297347.

It is an arithmetic number, because the mean of its divisors is an integer number (258634154100).

It is a 1-persistent number, because it is pandigital, but 2⋅41745493206648 = 83490986413296 is not.

Almost surely, 2^{41745493206648} 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 41745493206648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74486636380800).

41745493206648 is an abundant number, since it is smaller than the sum of its proper divisors (107227779554952).

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

41745493206648 is a wasteful number, since it uses less digits than its factorization.

41745493206648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154749 (or 154721 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 41745493206648 in words is "forty-one trillion, seven hundred forty-five billion, four hundred ninety-three million, two hundred six thousand, six hundred forty-eight".