983672626276389 has 192 divisors, whose sum is σ = 1741154269916160. Its totient is φ = 489213234800640.

The previous prime is 983672626276387. The next prime is 983672626276391.

983672626276389 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (983672626276387) and next prime (983672626276391).

It is not a de Polignac number, because 983672626276389 - 2¹ = 983672626276387 is a prime.

It is a super-2 number, since 2×983672626276389² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983672626276387) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3125659327 + ... + 3125974019.

It is an arithmetic number, because the mean of its divisors is an integer number (9068511822480).

Almost surely, 2^{983672626276389} is an apocalyptic number.

It is an amenable number.

983672626276389 is a deficient number, since it is larger than the sum of its proper divisors (757481643639771).

983672626276389 is a wasteful number, since it uses less digits than its factorization.

983672626276389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316320 (or 316313 counting only the distinct ones).

The product of its digits is 23702740992, while the sum is 84.

The spelling of 983672626276389 in words is "nine hundred eighty-three trillion, six hundred seventy-two billion, six hundred twenty-six million, two hundred seventy-six thousand, three hundred eighty-nine".