13148834335560 has 768 divisors, whose sum is σ = 55088812800000. Its totient is φ = 2730720453120.

The previous prime is 13148834335523. The next prime is 13148834335589. The reversal of 13148834335560 is 6553343884131.

13148834335560 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 8 + 3 + 43 + 35 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13148834335497 and 13148834335506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2578705891 + ... + 2578710989.

It is an arithmetic number, because the mean of its divisors is an integer number (71730225000).

Almost surely, 2^{13148834335560} is an apocalyptic number.

13148834335560 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 13148834335560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27544406400000).

13148834335560 is an abundant number, since it is smaller than the sum of its proper divisors (41939978464440).

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

13148834335560 is a wasteful number, since it uses less digits than its factorization.

13148834335560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 13148834335560 in words is "thirteen trillion, one hundred forty-eight billion, eight hundred thirty-four million, three hundred thirty-five thousand, five hundred sixty".