1385757323496 has 288 divisors, whose sum is σ = 4722243762600. Its totient is φ = 363875742720.

The previous prime is 1385757323473. The next prime is 1385757323521. The reversal of 1385757323496 is 6943237575831.

1385757323496 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 75 + 73 + 2 + 3 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1153076506596 + 232680816900 = 1073814^2 + 482370^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 10436886 + ... + 10568826.

Almost surely, 2^{1385757323496} 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 1385757323496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361121881300).

1385757323496 is an abundant number, since it is smaller than the sum of its proper divisors (3336486439104).

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

1385757323496 is a wasteful number, since it uses less digits than its factorization.

1385757323496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132209 (or 132195 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 1385757323496 in words is "one trillion, three hundred eighty-five billion, seven hundred fifty-seven million, three hundred twenty-three thousand, four hundred ninety-six".