13365116514288 has 400 divisors, whose sum is σ = 49403860450560. Its totient is φ = 3386788070400.

The previous prime is 13365116514227. The next prime is 13365116514293. The reversal of 13365116514288 is 88241561156331.

13365116514288 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 5 + 116 + 514 + 2 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2458183 + ... + 5724761.

Almost surely, 2^{13365116514288} is an apocalyptic number.

13365116514288 is a gapful number since it is divisible by the number (18) 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 13365116514288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701930225280).

13365116514288 is an abundant number, since it is smaller than the sum of its proper divisors (36038743936272).

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

13365116514288 is a wasteful number, since it uses less digits than its factorization.

13365116514288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266658 (or 3266643 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 13365116514288 in words is "thirteen trillion, three hundred sixty-five billion, one hundred sixteen million, five hundred fourteen thousand, two hundred eighty-eight".