1312621948224 has 448 divisors, whose sum is σ = 4286414592000. Its totient is φ = 392014909440.

The previous prime is 1312621948219. The next prime is 1312621948249. The reversal of 1312621948224 is 4228491262131.

1312621948224 is a `hidden beast` number, since 1 + 3 + 12 + 621 + 9 + 4 + 8 + 2 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312621948224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67197339 + ... + 67216869.

Almost surely, 2^{1312621948224} 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 1312621948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143207296000).

1312621948224 is an abundant number, since it is smaller than the sum of its proper divisors (2973792643776).

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

1312621948224 is a wasteful number, since it uses less digits than its factorization.

1312621948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19683 (or 19667 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 1312621948224 in words is "one trillion, three hundred twelve billion, six hundred twenty-one million, nine hundred forty-eight thousand, two hundred twenty-four".