45126817320 has 256 divisors, whose sum is σ = 148198901760. Its totient is φ = 10926461952.

The previous prime is 45126817313. The next prime is 45126817343. The reversal of 45126817320 is 2371862154.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26189979 + ... + 26191701.

It is an arithmetic number, because the mean of its divisors is an integer number (578901960).

Almost surely, 2^45126817320 is an apocalyptic number.

45126817320 is a gapful number since it is divisible by the number (40) 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 45126817320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74099450880).

45126817320 is an abundant number, since it is smaller than the sum of its proper divisors (103072084440).

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

45126817320 is a wasteful number, since it uses less digits than its factorization.

45126817320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 45126817320 in words is "forty-five billion, one hundred twenty-six million, eight hundred seventeen thousand, three hundred twenty".