45759468300 has 864 divisors, whose sum is σ = 179538508800. Its totient is φ = 8891688960.

The previous prime is 45759468289. The next prime is 45759468341. The reversal of 45759468300 is 386495754.

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 287 ways as a sum of consecutive naturals, for example, 127463521 + ... + 127463879.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 2^45759468300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45759468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89769254400).

45759468300 is an abundant number, since it is smaller than the sum of its proper divisors (133779040500).

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

45759468300 is a wasteful number, since it uses less digits than its factorization.

45759468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 45759468300 in words is "forty-five billion, seven hundred fifty-nine million, four hundred sixty-eight thousand, three hundred".