1238347284480 has 506 divisors, whose sum is σ = 4458024526866. Its totient is φ = 330225942528.

The previous prime is 1238347284437. The next prime is 1238347284533. The reversal of 1238347284480 is 844827438321.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁵ ⋅ (3!)³.

1238347284480 is a `hidden beast` number, since 1 + 2 + 3 + 83 + 4 + 7 + 2 + 84 + 480 = 666.

It can be written as a sum of positive squares in only one way, i.e., 990677827584 + 247669456896 = 995328^2 + 497664^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 247669456894 + ... + 247669456898.

Almost surely, 2^{1238347284480} is an apocalyptic number.

1238347284480 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 1238347284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229012263433).

1238347284480 is an abundant number, since it is smaller than the sum of its proper divisors (3219677242386).

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

1238347284480 is an frugal number, since it uses more digits than its factorization.

1238347284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 1238347284480 in words is "one trillion, two hundred thirty-eight billion, three hundred forty-seven million, two hundred eighty-four thousand, four hundred eighty".