13041952309248 has 480 divisors, whose sum is σ = 37930785607680. Its totient is φ = 3970695168000.

The previous prime is 13041952309241. The next prime is 13041952309259. The reversal of 13041952309248 is 84290325914031.

It is a self number, because there is not a number n which added to its sum of digits gives 13041952309248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041952309241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9582624088 + ... + 9582625448.

It is an arithmetic number, because the mean of its divisors is an integer number (79022470016).

Almost surely, 2^{13041952309248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13041952309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965392803840).

13041952309248 is an abundant number, since it is smaller than the sum of its proper divisors (24888833298432).

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

13041952309248 is a wasteful number, since it uses less digits than its factorization.

13041952309248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 13041952309248 in words is "thirteen trillion, forty-one billion, nine hundred fifty-two million, three hundred nine thousand, two hundred forty-eight".