45204192000 has 864 divisors, whose sum is σ = 187032867840. Its totient is φ = 10368000000.

The previous prime is 45204191987. The next prime is 45204192001. The reversal of 45204192000 is 29140254.

45204192000 is a `hidden beast` number, since 45 + 2 + 0 + 419 + 200 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45204192001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60191625 + ... + 60192375.

Almost surely, 2^45204192000 is an apocalyptic number.

45204192000 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 45204192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93516433920).

45204192000 is an abundant number, since it is smaller than the sum of its proper divisors (141828675840).

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

45204192000 is a wasteful number, since it uses less digits than its factorization.

45204192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 45204192000 in words is "forty-five billion, two hundred four million, one hundred ninety-two thousand".