1314682672560 has 320 divisors, whose sum is σ = 4213746302976. Its totient is φ = 338920243200.

The previous prime is 1314682672559. The next prime is 1314682672561. The reversal of 1314682672560 is 652762864131.

It is an interprime number because it is at equal distance from previous prime (1314682672559) and next prime (1314682672561).

It is not an unprimeable number, because it can be changed into a prime (1314682672561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 366920529 + ... + 366924111.

Almost surely, 2^{1314682672560} is an apocalyptic number.

1314682672560 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 1314682672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106873151488).

1314682672560 is an abundant number, since it is smaller than the sum of its proper divisors (2899063630416).

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

1314682672560 is a wasteful number, since it uses less digits than its factorization.

1314682672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1314682672560 in words is "one trillion, three hundred fourteen billion, six hundred eighty-two million, six hundred seventy-two thousand, five hundred sixty".