1482076891008 has 768 divisors, whose sum is σ = 5445091491840. Its totient is φ = 391932794880.

The previous prime is 1482076891003. The next prime is 1482076891051. The reversal of 1482076891008 is 8001986702841.

1482076891008 is a `hidden beast` number, since 1 + 482 + 0 + 76 + 8 + 91 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1482076891008² (a number of 25 digits) contains 22 as substring.

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 (1482076891003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155235291 + ... + 155244837.

It is an arithmetic number, because the mean of its divisors is an integer number (7089962880).

Almost surely, 2^{1482076891008} is an apocalyptic number.

1482076891008 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 1482076891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722545745920).

1482076891008 is an abundant number, since it is smaller than the sum of its proper divisors (3963014600832).

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

1482076891008 is an equidigital number, since it uses as much as digits as its factorization.

1482076891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9637 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1482076891008 in words is "one trillion, four hundred eighty-two billion, seventy-six million, eight hundred ninety-one thousand, eight".