45450893779200 has 2592 divisors, whose sum is σ = 205144853222400. Its totient is φ = 9539621683200.

The previous prime is 45450893779171. The next prime is 45450893779243. The reversal of 45450893779200 is 297739805454.

45450893779200 is a `hidden beast` number, since 4 + 5 + 4 + 50 + 8 + 9 + 377 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 69603206074 + ... + 69603206726.

Almost surely, 2^{45450893779200} is an apocalyptic number.

45450893779200 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 45450893779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102572426611200).

45450893779200 is an abundant number, since it is smaller than the sum of its proper divisors (159693959443200).

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

45450893779200 is a wasteful number, since it uses less digits than its factorization.

45450893779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 45450893779200 in words is "forty-five trillion, four hundred fifty billion, eight hundred ninety-three million, seven hundred seventy-nine thousand, two hundred".