1482347962368 has 1344 divisors, whose sum is σ = 5610378009600. Its totient is φ = 388607901696.

The previous prime is 1482347962363. The next prime is 1482347962411. The reversal of 1482347962368 is 8632697432841.

1482347962368 is a `hidden beast` number, since 1 + 4 + 82 + 3 + 479 + 6 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (83607552) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482347962363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8876335021 + ... + 8876335187.

It is an arithmetic number, because the mean of its divisors is an integer number (4174388400).

Almost surely, 2^{1482347962368} is an apocalyptic number.

1482347962368 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 1482347962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805189004800).

1482347962368 is an abundant number, since it is smaller than the sum of its proper divisors (4128030047232).

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

1482347962368 is an frugal number, since it uses more digits than its factorization.

1482347962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 192 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 1482347962368 in words is "one trillion, four hundred eighty-two billion, three hundred forty-seven million, nine hundred sixty-two thousand, three hundred sixty-eight".