1337497116480 has 756 divisors, whose sum is σ = 5557496789988. Its totient is φ = 305690112000.

The previous prime is 1337497116469. The next prime is 1337497116511. The reversal of 1337497116480 is 846117947331.

1337497116480 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 49 + 7 + 116 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181803315456 + 1155693801024 = 426384^2 + 1075032^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 102869980 + ... + 102882980.

Almost surely, 2^{1337497116480} is an apocalyptic number.

1337497116480 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 1337497116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778748394994).

1337497116480 is an abundant number, since it is smaller than the sum of its proper divisors (4219999673508).

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

1337497116480 is an frugal number, since it uses more digits than its factorization.

1337497116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1337497116480 in words is "one trillion, three hundred thirty-seven billion, four hundred ninety-seven million, one hundred sixteen thousand, four hundred eighty".