1321362454464 has 168 divisors, whose sum is σ = 4080476402912. Its totient is φ = 406404864000.

The previous prime is 1321362454463. The next prime is 1321362454481. The reversal of 1321362454464 is 4644542631231.

1321362454464 is a `hidden beast` number, since 1 + 3 + 2 + 13 + 624 + 5 + 4 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321362454463) 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 23 ways as a sum of consecutive naturals, for example, 18707214 + ... + 18777714.

Almost surely, 2^{1321362454464} 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 1321362454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040238201456).

1321362454464 is an abundant number, since it is smaller than the sum of its proper divisors (2759113948448).

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

1321362454464 is a wasteful number, since it uses less digits than its factorization.

1321362454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73035 (or 73022 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 1321362454464 in words is "one trillion, three hundred twenty-one billion, three hundred sixty-two million, four hundred fifty-four thousand, four hundred sixty-four".