45453006240 has 192 divisors, whose sum is σ = 144591422976. Its totient is φ = 12001697792.

The previous prime is 45453006239. The next prime is 45453006299. The reversal of 45453006240 is 4260035454.

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 31 ways as a sum of consecutive naturals, for example, 22031449 + ... + 22033511.

It is an arithmetic number, because the mean of its divisors is an integer number (753080328).

Almost surely, 2^45453006240 is an apocalyptic number.

45453006240 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 45453006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72295711488).

45453006240 is an abundant number, since it is smaller than the sum of its proper divisors (99138416736).

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

45453006240 is a wasteful number, since it uses less digits than its factorization.

45453006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 45453006240 in words is "forty-five billion, four hundred fifty-three million, six thousand, two hundred forty".