45339795228672 has 384 divisors, whose sum is σ = 153527763916800. Its totient is φ = 12951386210304.

The previous prime is 45339795228671. The next prime is 45339795228733. The reversal of 45339795228672 is 27682259793354.

45339795228672 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 97 + 9 + 522 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45339795228672.

It is not an unprimeable number, because it can be changed into a prime (45339795228671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2294165863 + ... + 2294185625.

It is an arithmetic number, because the mean of its divisors is an integer number (399811885200).

Almost surely, 2^{45339795228672} is an apocalyptic number.

45339795228672 is a gapful number since it is divisible by the number (42) 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 45339795228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76763881958400).

45339795228672 is an abundant number, since it is smaller than the sum of its proper divisors (108187968688128).

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

45339795228672 is a wasteful number, since it uses less digits than its factorization.

45339795228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25728 (or 25702 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 45339795228672 in words is "forty-five trillion, three hundred thirty-nine billion, seven hundred ninety-five million, two hundred twenty-eight thousand, six hundred seventy-two".