45288000000 has 840 divisors, whose sum is σ = 177664053996. Its totient is φ = 11059200000.

The previous prime is 45287999987. The next prime is 45288000011. The reversal of 45288000000 is 88254.

It can be written as a sum of positive squares in 14 ways, for example, as 24923568384 + 20364431616 = 157872^2 + 142704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1223999982 + ... + 1224000018.

Almost surely, 2^45288000000 is an apocalyptic number.

45288000000 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 45288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88832026998).

45288000000 is an abundant number, since it is smaller than the sum of its proper divisors (132376053996).

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

45288000000 is an frugal number, since it uses more digits than its factorization.

45288000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 45288000000 its reverse (88254), we get a palindrome (45288088254).

The spelling of 45288000000 in words is "forty-five billion, two hundred eighty-eight million", and thus it is an aban number.