1339313564160 has 2400 divisors, whose sum is σ = 5947192855296. Its totient is φ = 283867545600.

The previous prime is 1339313564137. The next prime is 1339313564221. The reversal of 1339313564160 is 614653139331.

1339313564160 is a `hidden beast` number, since 13 + 3 + 9 + 3 + 13 + 564 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 28496033257 + ... + 28496033303.

Almost surely, 2^{1339313564160} is an apocalyptic number.

1339313564160 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 1339313564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973596427648).

1339313564160 is an abundant number, since it is smaller than the sum of its proper divisors (4607879291136).

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

1339313564160 is a wasteful number, since it uses less digits than its factorization.

1339313564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 1339313564160 in words is "one trillion, three hundred thirty-nine billion, three hundred thirteen million, five hundred sixty-four thousand, one hundred sixty".