1382102016 has 176 divisors, whose sum is σ = 3974258688. Its totient is φ = 425779200.

The previous prime is 1382101999. The next prime is 1382102089. The reversal of 1382102016 is 6102012831.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190021 + ... + 2190651.

Almost surely, 2^1382102016 is an apocalyptic number.

1382102016 is a gapful number since it is divisible by the number (16) 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 1382102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987129344).

1382102016 is an abundant number, since it is smaller than the sum of its proper divisors (2592156672).

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

1382102016 is a wasteful number, since it uses less digits than its factorization.

1382102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1382102016 is about 37176.6326608530. The cubic root of 1382102016 is about 1113.9012726945.

Adding to 1382102016 its reverse (6102012831), we get a palindrome (7484114847).

The spelling of 1382102016 in words is "one billion, three hundred eighty-two million, one hundred two thousand, sixteen".