1327185494016 has 128 divisors (see below), whose sum is σ = 3548847125760. Its totient is φ = 441177735168.

The previous prime is 1327185494003. The next prime is 1327185494053. The reversal of 1327185494016 is 6104945817231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1327185494016² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1327185494016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36059175 + ... + 36095961.

It is an arithmetic number, because the mean of its divisors is an integer number (27725368170).

It is a 1-persistent number, because it is pandigital, but 2⋅1327185494016 = 2654370988032 is not.

Almost surely, 2^{1327185494016} is an apocalyptic number.

1327185494016 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 1327185494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774423562880).

1327185494016 is an abundant number, since it is smaller than the sum of its proper divisors (2221661631744).

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

1327185494016 is an frugal number, since it uses more digits than its factorization.

1327185494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37187 (or 37159 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1327185494016 in words is "one trillion, three hundred twenty-seven billion, one hundred eighty-five million, four hundred ninety-four thousand, sixteen".