46382312448 has 176 divisors, whose sum is σ = 137951751520. Its totient is φ = 15394406400.

The previous prime is 46382312443. The next prime is 46382312477. The reversal of 46382312448 is 84421328364.

It is a happy number.

46382312448 is a `hidden beast` number, since 4 + 638 + 2 + 3 + 1 + 2 + 4 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46382312443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6659688 + ... + 6666648.

It is an arithmetic number, because the mean of its divisors is an integer number (783816770).

Almost surely, 2^46382312448 is an apocalyptic number.

46382312448 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 46382312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68975875760).

46382312448 is an abundant number, since it is smaller than the sum of its proper divisors (91569439072).

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

46382312448 is a wasteful number, since it uses less digits than its factorization.

46382312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7207 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 46382312448 in words is "forty-six billion, three hundred eighty-two million, three hundred twelve thousand, four hundred forty-eight".