1361332716160 has 64 divisors (see below), whose sum is σ = 3255180906600. Its totient is φ = 544408453120.

The previous prime is 1361332716151. The next prime is 1361332716169. The reversal of 1361332716160 is 616172331631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1361332716151) and next prime (1361332716169).

It can be written as a sum of positive squares in 4 ways, for example, as 466401580096 + 894931136064 = 682936^2 + 946008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1361332716169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580540 + ... + 3062980.

Almost surely, 2^{1361332716160} is an apocalyptic number.

1361332716160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361332716160 is an abundant number, since it is smaller than the sum of its proper divisors (1893848190440).

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

1361332716160 is an equidigital number, since it uses as much as digits as its factorization.

1361332716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486869 (or 486857 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 1361332716160 in words is "one trillion, three hundred sixty-one billion, three hundred thirty-two million, seven hundred sixteen thousand, one hundred sixty".