13355455015344 has 160 divisors (see below), whose sum is σ = 37516641281280. Its totient is φ = 4069463970816.

The previous prime is 13355455015339. The next prime is 13355455015349. The reversal of 13355455015344 is 44351055455331.

It is an interprime number because it is at equal distance from previous prime (13355455015339) and next prime (13355455015349).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13355455015293 and 13355455015302.

It is not an unprimeable number, because it can be changed into a prime (13355455015349) 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, 188183514 + ... + 188254470.

It is an arithmetic number, because the mean of its divisors is an integer number (234479008008).

Almost surely, 2^{13355455015344} 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 13355455015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758320640640).

13355455015344 is an abundant number, since it is smaller than the sum of its proper divisors (24161186265936).

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

13355455015344 is a wasteful number, since it uses less digits than its factorization.

13355455015344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73907 (or 73901 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 48.

The spelling of 13355455015344 in words is "thirteen trillion, three hundred fifty-five billion, four hundred fifty-five million, fifteen thousand, three hundred forty-four".