45844763747328 has 2112 divisors, whose sum is σ = 175862141736960. Its totient is φ = 11485527736320.

The previous prime is 45844763747317. The next prime is 45844763747383. The reversal of 45844763747328 is 82374736744854.

45844763747328 is a `hidden beast` number, since 4 + 5 + 84 + 4 + 76 + 3 + 7 + 473 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 161995631475 + ... + 161995631757.

Almost surely, 2^{45844763747328} is an apocalyptic number.

45844763747328 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 45844763747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87931070868480).

45844763747328 is an abundant number, since it is smaller than the sum of its proper divisors (130017377989632).

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

45844763747328 is a wasteful number, since it uses less digits than its factorization.

45844763747328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 406 counting only the distinct ones).

The product of its digits is 3034644480, while the sum is 72.

The spelling of 45844763747328 in words is "forty-five trillion, eight hundred forty-four billion, seven hundred sixty-three million, seven hundred forty-seven thousand, three hundred twenty-eight".