1385564112 has 60 divisors (see below), whose sum is σ = 3903740100. Its totient is φ = 458747904.

The previous prime is 1385564111. The next prime is 1385564129. The reversal of 1385564112 is 2114655831.

1385564112 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 5 + 641 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 543635856 + 841928256 = 23316^2 + 29016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385564111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10833 + ... + 53744.

It is an arithmetic number, because the mean of its divisors is an integer number (65062335).

Almost surely, 2^1385564112 is an apocalyptic number.

1385564112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1385564112 is an abundant number, since it is smaller than the sum of its proper divisors (2518175988).

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

1385564112 is a wasteful number, since it uses less digits than its factorization.

1385564112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64740 (or 64731 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1385564112 is about 37223.1663349587. The cubic root of 1385564112 is about 1114.8305860429.

The spelling of 1385564112 in words is "one billion, three hundred eighty-five million, five hundred sixty-four thousand, one hundred twelve".