45869184000 has 528 divisors, whose sum is σ = 171117245520. Its totient is φ = 11801395200.

The previous prime is 45869183989. The next prime is 45869184017. The reversal of 45869184000 is 48196854.

It can be written as a sum of positive squares in 8 ways, for example, as 2910818304 + 42958365696 = 53952^2 + 207264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33407314 + ... + 33408686.

Almost surely, 2^45869184000 is an apocalyptic number.

45869184000 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 45869184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85558622760).

45869184000 is an abundant number, since it is smaller than the sum of its proper divisors (125248061520).

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

45869184000 is a wasteful number, since it uses less digits than its factorization.

45869184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 45869184000 in words is "forty-five billion, eight hundred sixty-nine million, one hundred eighty-four thousand".