45414543104 has 144 divisors (see below), whose sum is σ = 109987770816. Its totient is φ = 18269798400.

The previous prime is 45414543101. The next prime is 45414543133. The reversal of 45414543104 is 40134541454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414543101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12823574 + ... + 12827114.

It is an arithmetic number, because the mean of its divisors is an integer number (763803964).

Almost surely, 2^45414543104 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 45414543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54993885408).

45414543104 is an abundant number, since it is smaller than the sum of its proper divisors (64573227712).

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

45414543104 is a wasteful number, since it uses less digits than its factorization.

45414543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 45414543104 in words is "forty-five billion, four hundred fourteen million, five hundred forty-three thousand, one hundred four".