13318822125648 has 240 divisors, whose sum is σ = 43617198876160. Its totient is φ = 3757170355200.

The previous prime is 13318822125643. The next prime is 13318822125671. The reversal of 13318822125648 is 84652122881331.

It is a happy number.

13318822125648 is a `hidden beast` number, since 1 + 33 + 18 + 8 + 22 + 12 + 564 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13318822125594 and 13318822125603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318822125643) 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 47 ways as a sum of consecutive naturals, for example, 4937083 + ... + 7142298.

Almost surely, 2^{13318822125648} is an apocalyptic number.

13318822125648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13318822125648 is an abundant number, since it is smaller than the sum of its proper divisors (30298376750512).

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

13318822125648 is a wasteful number, since it uses less digits than its factorization.

13318822125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079458 (or 12079449 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 13318822125648 in words is "thirteen trillion, three hundred eighteen billion, eight hundred twenty-two million, one hundred twenty-five thousand, six hundred forty-eight".