1383765516 has 288 divisors, whose sum is σ = 4421813760. Its totient is φ = 356078592.

The previous prime is 1383765511. The next prime is 1383765521. The reversal of 1383765516 is 6155673831.

1383765516 is a `hidden beast` number, since 13 + 83 + 7 + 6 + 551 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1383765511) and next prime (1383765521).

It is not an unprimeable number, because it can be changed into a prime (1383765511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12932335 + ... + 12932441.

It is an arithmetic number, because the mean of its divisors is an integer number (15353520).

Almost surely, 2^1383765516 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 1383765516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210906880).

1383765516 is an abundant number, since it is smaller than the sum of its proper divisors (3038048244).

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

1383765516 is a wasteful number, since it uses less digits than its factorization.

1383765516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 248 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1383765516 is about 37198.9988574962. The cubic root of 1383765516 is about 1114.3479912502.

The spelling of 1383765516 in words is "one billion, three hundred eighty-three million, seven hundred sixty-five thousand, five hundred sixteen".