45087008000000 has 252 divisors, whose sum is σ = 112783574222865. Its totient is φ = 18019609600000.

The previous prime is 45087007999879. The next prime is 45087008000011. The reversal of 45087008000000 is 80078054.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 7688597300224 + 37398410699776 = 2772832^2 + 6115424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4748000.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 37983999407 + ... + 37984000593.

Almost surely, 2^{45087008000000} is an apocalyptic number.

45087008000000 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 45087008000000

45087008000000 is an abundant number, since it is smaller than the sum of its proper divisors (67696566222865).

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

45087008000000 is an frugal number, since it uses more digits than its factorization.

45087008000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

45087008000000 divided by its sum of digits (32) gives a square (1408969000000 = 1187000²).

Adding to 45087008000000 its reverse (80078054), we get a palindrome (45087088078054).

The spelling of 45087008000000 in words is "forty-five trillion, eighty-seven billion, eight million", and thus it is an aban number and an uban number.