46682293381248 has 256 divisors, whose sum is σ = 143693302487040. Its totient is φ = 13151617228800.

The previous prime is 46682293381201. The next prime is 46682293381249. The reversal of 46682293381248 is 84218339228664.

It is not an unprimeable number, because it can be changed into a prime (46682293381249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794874061 + ... + 794932787.

It is an arithmetic number, because the mean of its divisors is an integer number (561301962840).

Almost surely, 2^{46682293381248} is an apocalyptic number.

46682293381248 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 46682293381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71846651243520).

46682293381248 is an abundant number, since it is smaller than the sum of its proper divisors (97011009105792).

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

46682293381248 is a wasteful number, since it uses less digits than its factorization.

46682293381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62875 (or 62863 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 46682293381248 in words is "forty-six trillion, six hundred eighty-two billion, two hundred ninety-three million, three hundred eighty-one thousand, two hundred forty-eight".