45741826099200 has 1152 divisors, whose sum is σ = 188846583045120. Its totient is φ = 9488793600000.

The previous prime is 45741826099153. The next prime is 45741826099253. The reversal of 45741826099200 is 299062814754.

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 95 ways as a sum of consecutive naturals, for example, 7817776275 + ... + 7817782125.

It is an arithmetic number, because the mean of its divisors is an integer number (163929325560).

Almost surely, 2^{45741826099200} is an apocalyptic number.

45741826099200 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 45741826099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94423291522560).

45741826099200 is an abundant number, since it is smaller than the sum of its proper divisors (143104756945920).

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

45741826099200 is a wasteful number, since it uses less digits than its factorization.

45741826099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 45741826099200 in words is "forty-five trillion, seven hundred forty-one billion, eight hundred twenty-six million, ninety-nine thousand, two hundred".