1320415848468 has 576 divisors, whose sum is σ = 3956779008000. Its totient is φ = 382818078720.

The previous prime is 1320415848463. The next prime is 1320415848539. The reversal of 1320415848468 is 8648485140231.

1320415848468 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 158 + 484 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320415848463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1961984580 + ... + 1961985252.

It is an arithmetic number, because the mean of its divisors is an integer number (6869408000).

Almost surely, 2^{1320415848468} is an apocalyptic number.

1320415848468 is a gapful number since it is divisible by the number (18) 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 1320415848468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978389504000).

1320415848468 is an abundant number, since it is smaller than the sum of its proper divisors (2636363159532).

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

1320415848468 is a wasteful number, since it uses less digits than its factorization.

1320415848468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1320415848468 in words is "one trillion, three hundred twenty billion, four hundred fifteen million, eight hundred forty-eight thousand, four hundred sixty-eight".