46539783272448 has 288 divisors, whose sum is σ = 143264905973280. Its totient is φ = 14504008089600.

The previous prime is 46539783272441. The next prime is 46539783272449. The reversal of 46539783272448 is 84427238793564.

46539783272448 is a `hidden beast` number, since 4 + 6 + 5 + 39 + 7 + 83 + 2 + 72 + 448 = 666.

46539783272448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46539783272441) 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 23 ways as a sum of consecutive naturals, for example, 46823136 + ... + 47806752.

It is an arithmetic number, because the mean of its divisors is an integer number (497447590185).

Almost surely, 2^{46539783272448} is an apocalyptic number.

46539783272448 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 46539783272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71632452986640).

46539783272448 is an abundant number, since it is smaller than the sum of its proper divisors (96725122700832).

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

46539783272448 is a wasteful number, since it uses less digits than its factorization.

46539783272448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983813 (or 983790 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 46539783272448 in words is "forty-six trillion, five hundred thirty-nine billion, seven hundred eighty-three million, two hundred seventy-two thousand, four hundred forty-eight".