45441852485400 has 3456 divisors, whose sum is σ = 204264747648000. Its totient is φ = 8966909952000.

The previous prime is 45441852485363. The next prime is 45441852485431. The reversal of 45441852485400 is 458425814454.

45441852485400 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 1 + 8 + 52 + 48 + 540 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 137286563235 + ... + 137286563565.

It is an arithmetic number, because the mean of its divisors is an integer number (59104383000).

Almost surely, 2^{45441852485400} is an apocalyptic number.

45441852485400 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 45441852485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102132373824000).

45441852485400 is an abundant number, since it is smaller than the sum of its proper divisors (158822895162600).

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

45441852485400 is a wasteful number, since it uses less digits than its factorization.

45441852485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 16384000, while the sum is 54.

The spelling of 45441852485400 in words is "forty-five trillion, four hundred forty-one billion, eight hundred fifty-two million, four hundred eighty-five thousand, four hundred".