1327459746816 has 528 divisors, whose sum is σ = 4782043535360. Its totient is φ = 359303454720.

The previous prime is 1327459746799. The next prime is 1327459746817. The reversal of 1327459746816 is 6186479547231.

1327459746816 is a `hidden beast` number, since 1 + 3 + 2 + 74 + 5 + 97 + 468 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1327459746817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33074601 + ... + 33114711.

Almost surely, 2^{1327459746816} is an apocalyptic number.

1327459746816 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 1327459746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391021767680).

1327459746816 is an abundant number, since it is smaller than the sum of its proper divisors (3454583788544).

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

1327459746816 is an equidigital number, since it uses as much as digits as its factorization.

1327459746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40172 (or 40142 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 1327459746816 in words is "one trillion, three hundred twenty-seven billion, four hundred fifty-nine million, seven hundred forty-six thousand, eight hundred sixteen".