45525115843200 has 1440 divisors, whose sum is σ = 202166342027100. Its totient is φ = 10046840832000.

The previous prime is 45525115843147. The next prime is 45525115843213. The reversal of 45525115843200 is 234851152554.

45525115843200 is a `hidden beast` number, since 4 + 5 + 5 + 25 + 11 + 584 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31880839201344 + 13644276641856 = 5646312^2 + 3693816^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 368261400 + ... + 368385000.

Almost surely, 2^{45525115843200} is an apocalyptic number.

45525115843200 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 45525115843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101083171013550).

45525115843200 is an abundant number, since it is smaller than the sum of its proper divisors (156641226183900).

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

45525115843200 is a wasteful number, since it uses less digits than its factorization.

45525115843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123680 (or 123647 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

Adding to 45525115843200 its reverse (234851152554), we get a palindrome (45759966995754).

The spelling of 45525115843200 in words is "forty-five trillion, five hundred twenty-five billion, one hundred fifteen million, eight hundred forty-three thousand, two hundred".