1395375903768 has 256 divisors, whose sum is σ = 4610866544640. Its totient is φ = 341263756800.

The previous prime is 1395375903739. The next prime is 1395375903793. The reversal of 1395375903768 is 8673095735931.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1395375903699 and 1395375903708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790505 + ... + 2448807.

It is an arithmetic number, because the mean of its divisors is an integer number (18011197440).

Almost surely, 2^{1395375903768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395375903768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305433272320).

1395375903768 is an abundant number, since it is smaller than the sum of its proper divisors (3215490640872).

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

1395375903768 is a wasteful number, since it uses less digits than its factorization.

1395375903768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658398 (or 658394 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 1395375903768 in words is "one trillion, three hundred ninety-five billion, three hundred seventy-five million, nine hundred three thousand, seven hundred sixty-eight".