45115040000 has 180 divisors, whose sum is σ = 112960313004. Its totient is φ = 17977344000.

The previous prime is 45115039999. The next prime is 45115040023. The reversal of 45115040000 is 4051154.

It can be written as a sum of positive squares in 10 ways, for example, as 38309449984 + 6805590016 = 195728^2 + 82496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73119692 + ... + 73120308.

Almost surely, 2^45115040000 is an apocalyptic number.

45115040000 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 45115040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480156502).

45115040000 is an abundant number, since it is smaller than the sum of its proper divisors (67845273004).

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

45115040000 is an frugal number, since it uses more digits than its factorization.

45115040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 45115040000 its reverse (4051154), we get a palindrome (45119091154).

The spelling of 45115040000 in words is "forty-five billion, one hundred fifteen million, forty thousand".