13365346498560 has 2016 divisors, whose sum is σ = 56943363204000. Its totient is φ = 2999838965760.

The previous prime is 13365346498531. The next prime is 13365346498583. The reversal of 13365346498560 is 6589464356331.

13365346498560 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 5 + 3 + 4 + 64 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22312765141 + ... + 22312765739.

It is an arithmetic number, because the mean of its divisors is an integer number (28245715875).

Almost surely, 2^{13365346498560} is an apocalyptic number.

13365346498560 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 13365346498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28471681602000).

13365346498560 is an abundant number, since it is smaller than the sum of its proper divisors (43578016705440).

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

13365346498560 is an frugal number, since it uses more digits than its factorization.

13365346498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 13365346498560 in words is "thirteen trillion, three hundred sixty-five billion, three hundred forty-six million, four hundred ninety-eight thousand, five hundred sixty".