45086553524100 has 288 divisors, whose sum is σ = 150691530124800. Its totient is φ = 10286389299200.

The previous prime is 45086553524069. The next prime is 45086553524107. The reversal of 45086553524100 is 142535568054.

It is a self number, because there is not a number n which added to its sum of digits gives 45086553524100.

It is not an unprimeable number, because it can be changed into a prime (45086553524107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1316032771 + ... + 1316067029.

It is an arithmetic number, because the mean of its divisors is an integer number (523234479600).

Almost surely, 2^{45086553524100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45086553524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75345765062400).

45086553524100 is an abundant number, since it is smaller than the sum of its proper divisors (105604976600700).

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

45086553524100 is a wasteful number, since it uses less digits than its factorization.

45086553524100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57763 (or 57756 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 45086553524100 in words is "forty-five trillion, eighty-six billion, five hundred fifty-three million, five hundred twenty-four thousand, one hundred".