45146035584 has 960 divisors, whose sum is σ = 164442339600. Its totient is φ = 12182814720.

The previous prime is 45146035547. The next prime is 45146035589. The reversal of 45146035584 is 48553064154.

45146035584 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 60 + 3 + 5 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45146035589) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 740098914 + ... + 740098974.

Almost surely, 2^45146035584 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 45146035584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82221169800).

45146035584 is an abundant number, since it is smaller than the sum of its proper divisors (119296304016).

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

45146035584 is a wasteful number, since it uses less digits than its factorization.

45146035584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45146035584 in words is "forty-five billion, one hundred forty-six million, thirty-five thousand, five hundred eighty-four".