1314116654420 has 96 divisors (see below), whose sum is σ = 2876587499520. Its totient is φ = 503708641920.

The previous prime is 1314116654419. The next prime is 1314116654423. The reversal of 1314116654420 is 244566114131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314116654423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267148721 + ... + 267153639.

It is an arithmetic number, because the mean of its divisors is an integer number (29964453120).

Almost surely, 2^{1314116654420} is an apocalyptic number.

1314116654420 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 1314116654420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438293749760).

1314116654420 is an abundant number, since it is smaller than the sum of its proper divisors (1562470845100).

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

1314116654420 is a wasteful number, since it uses less digits than its factorization.

1314116654420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 1314116654420 in words is "one trillion, three hundred fourteen billion, one hundred sixteen million, six hundred fifty-four thousand, four hundred twenty".