1382638881258 has 80 divisors (see below), whose sum is σ = 3212808093000. Its totient is φ = 443898620928.

The previous prime is 1382638881257. The next prime is 1382638881269. The reversal of 1382638881258 is 8521888362831.

It is a happy number.

1382638881258 is a `hidden beast` number, since 138 + 26 + 388 + 81 + 25 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1289898533169 + 92740348089 = 1135737^2 + 304533^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1382638881195 and 1382638881204.

It is not an unprimeable number, because it can be changed into a prime (1382638881251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1561698 + ... + 2281266.

Almost surely, 2^{1382638881258} is an apocalyptic number.

1382638881258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382638881258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606404046500).

1382638881258 is an abundant number, since it is smaller than the sum of its proper divisors (1830169211742).

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

1382638881258 is a wasteful number, since it uses less digits than its factorization.

1382638881258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720021 (or 720012 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 1382638881258 in words is "one trillion, three hundred eighty-two billion, six hundred thirty-eight million, eight hundred eighty-one thousand, two hundred fifty-eight".