13365466015456 has 96 divisors (see below), whose sum is σ = 27329193672480. Its totient is φ = 6426604800000.

The previous prime is 13365466015453. The next prime is 13365466015463. The reversal of 13365466015456 is 65451066456331.

It is a junction number, because it is equal to n+sod(n) for n = 13365466015397 and 13365466015406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13365466015453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254549206 + ... + 254601706.

It is an arithmetic number, because the mean of its divisors is an integer number (284679100755).

Almost surely, 2^{13365466015456} is an apocalyptic number.

13365466015456 is a gapful number since it is divisible by the number (16) 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 13365466015456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664596836240).

13365466015456 is an abundant number, since it is smaller than the sum of its proper divisors (13963727657024).

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

13365466015456 is a wasteful number, since it uses less digits than its factorization.

13365466015456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53628 (or 53620 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 55.

The spelling of 13365466015456 in words is "thirteen trillion, three hundred sixty-five billion, four hundred sixty-six million, fifteen thousand, four hundred fifty-six".