380610016083 has 72 divisors (see below), whose sum is σ = 610533469728. Its totient is φ = 228301920000.

The previous prime is 380610016069. The next prime is 380610016097.

380610016083 is a `hidden beast` number, since 38 + 0 + 6 + 10 + 0 + 1 + 608 + 3 = 666.

380610016083 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (380610016069) and next prime (380610016097).

It is not a de Polignac number, because 380610016083 - 2⁵ = 380610016051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380610016013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46203241 + ... + 46211477.

It is an arithmetic number, because the mean of its divisors is an integer number (8479631524).

Almost surely, 2^380610016083 is an apocalyptic number.

380610016083 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

380610016083 is a deficient number, since it is larger than the sum of its proper divisors (229923453645).

380610016083 is a wasteful number, since it uses less digits than its factorization.

380610016083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 380610016083 in words is "three hundred eighty billion, six hundred ten million, sixteen thousand, eighty-three".