13397346132480 has 240 divisors, whose sum is σ = 46658003071680. Its totient is φ = 3552665739264.

The previous prime is 13397346132473. The next prime is 13397346132487. The reversal of 13397346132480 is 8423164379331.

13397346132480 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 73 + 4 + 61 + 32 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (13397346132473) and next prime (13397346132487).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13397346132487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2499909 + ... + 5748411.

It is an arithmetic number, because the mean of its divisors is an integer number (194408346132).

Almost surely, 2^{13397346132480} is an apocalyptic number.

13397346132480 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 13397346132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23329001535840).

13397346132480 is an abundant number, since it is smaller than the sum of its proper divisors (33260656939200).

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

13397346132480 is a wasteful number, since it uses less digits than its factorization.

13397346132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248711 (or 3248692 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 13397346132480 in words is "thirteen trillion, three hundred ninety-seven billion, three hundred forty-six million, one hundred thirty-two thousand, four hundred eighty".