45325512000 has 336 divisors, whose sum is σ = 162904170000. Its totient is φ = 12029644800.

The previous prime is 45325511947. The next prime is 45325512049. The reversal of 45325512000 is 21552354.

It is a happy number.

45325512000 is a `hidden beast` number, since 4 + 532 + 5 + 5 + 120 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12865003776 + 32460508224 = 113424^2 + 180168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16486626 + ... + 16489374.

Almost surely, 2^45325512000 is an apocalyptic number.

45325512000 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 45325512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81452085000).

45325512000 is an abundant number, since it is smaller than the sum of its proper divisors (117578658000).

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

45325512000 is a wasteful number, since it uses less digits than its factorization.

45325512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 45325512000 in words is "forty-five billion, three hundred twenty-five million, five hundred twelve thousand".