45078909984 has 144 divisors (see below), whose sum is σ = 135764620992. Its totient is φ = 14158324224.

The previous prime is 45078909947. The next prime is 45078910021. The reversal of 45078909984 is 48990987054.

45078909984 is a `hidden beast` number, since 450 + 7 + 8 + 90 + 9 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45078909947) and next prime (45078910021).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 393022 + ... + 494594.

It is an arithmetic number, because the mean of its divisors is an integer number (942809868).

Almost surely, 2^45078909984 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 45078909984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67882310496).

45078909984 is an abundant number, since it is smaller than the sum of its proper divisors (90685711008).

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

45078909984 is a wasteful number, since it uses less digits than its factorization.

45078909984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101679 (or 101668 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 45078909984 in words is "forty-five billion, seventy-eight million, nine hundred nine thousand, nine hundred eighty-four".