1349716870656 has 640 divisors, whose sum is σ = 5027228236800. Its totient is φ = 347329658880.

The previous prime is 1349716870643. The next prime is 1349716870679. The reversal of 1349716870656 is 6560786179431.

1349716870656 is a `hidden beast` number, since 1 + 3 + 497 + 1 + 6 + 87 + 0 + 65 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1349716870593 and 1349716870602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116019016 + ... + 116030648.

It is an arithmetic number, because the mean of its divisors is an integer number (7855044120).

Almost surely, 2^{1349716870656} is an apocalyptic number.

1349716870656 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 1349716870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513614118400).

1349716870656 is an abundant number, since it is smaller than the sum of its proper divisors (3677511366144).

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

1349716870656 is a wasteful number, since it uses less digits than its factorization.

1349716870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1349716870656 in words is "one trillion, three hundred forty-nine billion, seven hundred sixteen million, eight hundred seventy thousand, six hundred fifty-six".