41786847648 has 288 divisors, whose sum is σ = 151673348736. Its totient is φ = 11020520448.

The previous prime is 41786847647. The next prime is 41786847677. The reversal of 41786847648 is 84674868714.

41786847648 is a `hidden beast` number, since 41 + 7 + 86 + 8 + 476 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41786847648² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41786847643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678090 + ... + 737142.

It is an arithmetic number, because the mean of its divisors is an integer number (526643572).

Almost surely, 2^41786847648 is an apocalyptic number.

41786847648 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 41786847648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75836674368).

41786847648 is an abundant number, since it is smaller than the sum of its proper divisors (109886501088).

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

41786847648 is a wasteful number, since it uses less digits than its factorization.

41786847648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59098 (or 59078 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 41786847648 in words is "forty-one billion, seven hundred eighty-six million, eight hundred forty-seven thousand, six hundred forty-eight".