45895400000 has 336 divisors, whose sum is σ = 121257395280. Its totient is φ = 17203200000.

The previous prime is 45895399997. The next prime is 45895400009. The reversal of 45895400000 is 459854.

It can be written as a sum of positive squares in 24 ways, for example, as 24114362944 + 21781037056 = 155288^2 + 147584^2 .

It is not an unprimeable number, because it can be changed into a prime (45895400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237799904 + ... + 237800096.

It is an arithmetic number, because the mean of its divisors is an integer number (360885105).

Almost surely, 2^45895400000 is an apocalyptic number.

45895400000 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 45895400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60628697640).

45895400000 is an abundant number, since it is smaller than the sum of its proper divisors (75361995280).

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

45895400000 is an equidigital number, since it uses as much as digits as its factorization.

45895400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 45895400000 its reverse (459854), we get a palindrome (45895859854).

The spelling of 45895400000 in words is "forty-five billion, eight hundred ninety-five million, four hundred thousand".