8748933120000 has 1190 divisors, whose sum is σ = 32894640097242. Its totient is φ = 2325086208000.

The previous prime is 8748933119963. The next prime is 8748933120007. The reversal of 8748933120000 is 213398478.

It can be written as a sum of positive squares in 5 ways, for example, as 1332417724416 + 7416515395584 = 1154304^2 + 2723328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8748933120007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 29859839854 + ... + 29859840146.

Almost surely, 2^{8748933120000} is an apocalyptic number.

8748933120000 is a gapful number since it is divisible by the number (80) 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 8748933120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447320048621).

8748933120000 is an abundant number, since it is smaller than the sum of its proper divisors (24145706977242).

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

8748933120000 is an frugal number, since it uses more digits than its factorization.

8748933120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 8748933120000 in words is "eight trillion, seven hundred forty-eight billion, nine hundred thirty-three million, one hundred twenty thousand".