1338590497056 has 96 divisors (see below), whose sum is σ = 3700535025600. Its totient is φ = 422507289600.

The previous prime is 1338590497019. The next prime is 1338590497061. The reversal of 1338590497056 is 6507940958331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3596506 + ... + 3951206.

It is an arithmetic number, because the mean of its divisors is an integer number (38547239850).

Almost surely, 2^{1338590497056} is an apocalyptic number.

1338590497056 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 1338590497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850267512800).

1338590497056 is an abundant number, since it is smaller than the sum of its proper divisors (2361944528544).

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

1338590497056 is a wasteful number, since it uses less digits than its factorization.

1338590497056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356802 (or 356794 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 1338590497056 in words is "one trillion, three hundred thirty-eight billion, five hundred ninety million, four hundred ninety-seven thousand, fifty-six".