45146316800 has 336 divisors, whose sum is σ = 124684852992. Its totient is φ = 16102195200.

The previous prime is 45146316791. The next prime is 45146316821. The reversal of 45146316800 is 861364154.

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 23 ways as a sum of consecutive naturals, for example, 82534127 + ... + 82534673.

It is an arithmetic number, because the mean of its divisors is an integer number (371085872).

Almost surely, 2^45146316800 is an apocalyptic number.

45146316800 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 45146316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62342426496).

45146316800 is an abundant number, since it is smaller than the sum of its proper divisors (79538536192).

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

45146316800 is a wasteful number, since it uses less digits than its factorization.

45146316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 45146316800 in words is "forty-five billion, one hundred forty-six million, three hundred sixteen thousand, eight hundred".