13045248000 has 624 divisors, whose sum is σ = 49834044000. Its totient is φ = 3273523200.

The previous prime is 13045247989. The next prime is 13045248011. The reversal of 13045248000 is 84254031.

13045248000 is a `hidden beast` number, since 130 + 4 + 52 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13045247989) and next prime (13045248011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87551926 + ... + 87552074.

It is an arithmetic number, because the mean of its divisors is an integer number (79862250).

Almost surely, 2^13045248000 is an apocalyptic number.

13045248000 is a gapful number since it is divisible by the number (10) 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 13045248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917022000).

13045248000 is an abundant number, since it is smaller than the sum of its proper divisors (36788796000).

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

13045248000 is a wasteful number, since it uses less digits than its factorization.

13045248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 13045248000 in words is "thirteen billion, forty-five million, two hundred forty-eight thousand".