48082066146464 has 96 divisors (see below), whose sum is σ = 108318970932480. Its totient is φ = 20581023633408.

The previous prime is 48082066146463. The next prime is 48082066146473. The reversal of 48082066146464 is 46464166028084.

48082066146464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48082066146464³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48082066146463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1186341752 + ... + 1186382280.

It is an arithmetic number, because the mean of its divisors is an integer number (1128322613880).

Almost surely, 2^{48082066146464} is an apocalyptic number.

It is an amenable number.

48082066146464 is an abundant number, since it is smaller than the sum of its proper divisors (60236904786016).

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

48082066146464 is a wasteful number, since it uses less digits than its factorization.

48082066146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46990 (or 46982 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 59.

The spelling of 48082066146464 in words is "forty-eight trillion, eighty-two billion, sixty-six million, one hundred forty-six thousand, four hundred sixty-four".