13465314214560 has 768 divisors, whose sum is σ = 51296681963520. Its totient is φ = 3279176110080.

The previous prime is 13465314214549. The next prime is 13465314214571. The reversal of 13465314214560 is 6541241356431.

13465314214560 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 5 + 31 + 42 + 14 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (13465314214549) and next prime (13465314214571).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8911524205 + ... + 8911525715.

It is an arithmetic number, because the mean of its divisors is an integer number (66792554640).

Almost surely, 2^{13465314214560} is an apocalyptic number.

13465314214560 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 13465314214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648340981760).

13465314214560 is an abundant number, since it is smaller than the sum of its proper divisors (37831367748960).

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

13465314214560 is a wasteful number, since it uses less digits than its factorization.

13465314214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13465314214560 in words is "thirteen trillion, four hundred sixty-five billion, three hundred fourteen million, two hundred fourteen thousand, five hundred sixty".