1485138106368 has 288 divisors, whose sum is σ = 5115261715200. Its totient is φ = 405875441664.

The previous prime is 1485138106211. The next prime is 1485138106373. The reversal of 1485138106368 is 8636018315841.

It is a happy number.

1485138106368 is a `hidden beast` number, since 1 + 4 + 8 + 513 + 8 + 1 + 0 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2717323 + ... + 3217781.

It is an arithmetic number, because the mean of its divisors is an integer number (17761325400).

Almost surely, 2^{1485138106368} is an apocalyptic number.

1485138106368 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 1485138106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557630857600).

1485138106368 is an abundant number, since it is smaller than the sum of its proper divisors (3630123608832).

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

1485138106368 is a wasteful number, since it uses less digits than its factorization.

1485138106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500517 (or 500494 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1485138106368 in words is "one trillion, four hundred eighty-five billion, one hundred thirty-eight million, one hundred six thousand, three hundred sixty-eight".