1395723168 has 288 divisors, whose sum is σ = 4891041792. Its totient is φ = 368755200.

The previous prime is 1395723143. The next prime is 1395723209. The reversal of 1395723168 is 8613275931.

1395723168 is a `hidden beast` number, since 13 + 9 + 572 + 3 + 1 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436923 + ... + 1437893.

It is an arithmetic number, because the mean of its divisors is an integer number (16982784).

Almost surely, 2^1395723168 is an apocalyptic number.

1395723168 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 1395723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445520896).

1395723168 is an abundant number, since it is smaller than the sum of its proper divisors (3495318624).

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

1395723168 is a wasteful number, since it uses less digits than its factorization.

1395723168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1395723168 is about 37359.3785815557. The cubic root of 1395723168 is about 1117.5486266245.

The spelling of 1395723168 in words is "one billion, three hundred ninety-five million, seven hundred twenty-three thousand, one hundred sixty-eight".