1486072085344 has 96 divisors (see below), whose sum is σ = 3648402777600. Its totient is φ = 578866698240.

The previous prime is 1486072085299. The next prime is 1486072085371. The reversal of 1486072085344 is 4435802706841.

It is a junction number, because it is equal to n+sod(n) for n = 1486072085291 and 1486072085300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12059112 + ... + 12181720.

It is an arithmetic number, because the mean of its divisors is an integer number (38004195600).

Almost surely, 2^{1486072085344} is an apocalyptic number.

1486072085344 is a gapful number since it is divisible by the number (14) 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 1486072085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824201388800).

1486072085344 is an abundant number, since it is smaller than the sum of its proper divisors (2162330692256).

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

1486072085344 is a wasteful number, since it uses less digits than its factorization.

1486072085344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127556 (or 127548 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 1486072085344 in words is "one trillion, four hundred eighty-six billion, seventy-two million, eighty-five thousand, three hundred forty-four".