13248514048770 has 2048 divisors, whose sum is σ = 51941191680000. Its totient is φ = 2359544463360.

The previous prime is 13248514048727. The next prime is 13248514048771. The reversal of 13248514048770 is 7784041584231.

13248514048770 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 8 + 51 + 40 + 487 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13248514048771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 18686197176 + ... + 18686197884.

It is an arithmetic number, because the mean of its divisors is an integer number (25361910000).

Almost surely, 2^{13248514048770} is an apocalyptic number.

13248514048770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13248514048770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970595840000).

13248514048770 is an abundant number, since it is smaller than the sum of its proper divisors (38692677631230).

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

13248514048770 is a wasteful number, since it uses less digits than its factorization.

13248514048770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 13248514048770 in words is "thirteen trillion, two hundred forty-eight billion, five hundred fourteen million, forty-eight thousand, seven hundred seventy".