984924429489 has 72 divisors (see below), whose sum is σ = 1944266530752. Its totient is φ = 472291404480.

The previous prime is 984924429487. The next prime is 984924429493.

984924429489 is a `hidden beast` number, since 9 + 8 + 4 + 92 + 442 + 94 + 8 + 9 = 666.

984924429489 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 984924429489 - 2¹ = 984924429487 is a prime.

It is a super-2 number, since 2×984924429489² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (984924429481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7745989 + ... + 7872114.

It is an arithmetic number, because the mean of its divisors is an integer number (27003701816).

Almost surely, 2^984924429489 is an apocalyptic number.

984924429489 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

984924429489 is a deficient number, since it is larger than the sum of its proper divisors (959342101263).

984924429489 is a wasteful number, since it uses less digits than its factorization.

984924429489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618147 (or 15618137 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 984924429489 in words is "nine hundred eighty-four billion, nine hundred twenty-four million, four hundred twenty-nine thousand, four hundred eighty-nine".