4081694341648 has 480 divisors, whose sum is σ = 10962754338816. Its totient is φ = 1436016384000.

The previous prime is 4081694341633. The next prime is 4081694341709. The reversal of 4081694341648 is 8461434961804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4081694341592 and 4081694341601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396160465 + ... + 396170767.

Almost surely, 2^{4081694341648} 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 4081694341648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481377169408).

4081694341648 is an abundant number, since it is smaller than the sum of its proper divisors (6881059997168).

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

4081694341648 is a wasteful number, since it uses less digits than its factorization.

4081694341648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 4081694341648 in words is "four trillion, eighty-one billion, six hundred ninety-four million, three hundred forty-one thousand, six hundred forty-eight".