1314618721248 has 192 divisors, whose sum is σ = 4078250104320. Its totient is φ = 363017521152.

The previous prime is 1314618721231. The next prime is 1314618721249. The reversal of 1314618721248 is 8421278164131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1314618721197 and 1314618721206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314618721249) 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 31 ways as a sum of consecutive naturals, for example, 2110818 + ... + 2661726.

It is an arithmetic number, because the mean of its divisors is an integer number (21240885960).

Almost surely, 2^{1314618721248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314618721248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039125052160).

1314618721248 is an abundant number, since it is smaller than the sum of its proper divisors (2763631383072).

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

1314618721248 is a wasteful number, since it uses less digits than its factorization.

1314618721248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551049 (or 551041 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 1314618721248 in words is "one trillion, three hundred fourteen billion, six hundred eighteen million, seven hundred twenty-one thousand, two hundred forty-eight".