1383286464 has 504 divisors, whose sum is σ = 5175595440. Its totient is φ = 359976960.

The previous prime is 1383286459. The next prime is 1383286517. The reversal of 1383286464 is 4646823831.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44622129 + ... + 44622159.

Almost surely, 2^1383286464 is an apocalyptic number.

1383286464 is a gapful number since it is divisible by the number (14) 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 1383286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587797720).

1383286464 is an abundant number, since it is smaller than the sum of its proper divisors (3792308976).

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

1383286464 is a wasteful number, since it uses less digits than its factorization.

1383286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1383286464 is about 37192.5592558512. The cubic root of 1383286464 is about 1114.2193826956.

The spelling of 1383286464 in words is "one billion, three hundred eighty-three million, two hundred eighty-six thousand, four hundred sixty-four".