1482687472896 has 720 divisors, whose sum is σ = 5335431615360. Its totient is φ = 400062136320.

The previous prime is 1482687472891. The next prime is 1482687472901. The reversal of 1482687472896 is 6982747862841.

1482687472896 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 68 + 7 + 472 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1482687472891) and next prime (1482687472901).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482687472891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161070210 + ... + 1161071486.

It is an arithmetic number, because the mean of its divisors is an integer number (7410321688).

Almost surely, 2^{1482687472896} is an apocalyptic number.

1482687472896 is a gapful number since it is divisible by the number (16) 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 1482687472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667715807680).

1482687472896 is an abundant number, since it is smaller than the sum of its proper divisors (3852744142464).

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

1482687472896 is a wasteful number, since it uses less digits than its factorization.

1482687472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1729 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 1482687472896 in words is "one trillion, four hundred eighty-two billion, six hundred eighty-seven million, four hundred seventy-two thousand, eight hundred ninety-six".