1984629645 has 54 divisors (see below), whose sum is σ = 3578362398. Its totient is φ = 1017507456.

The previous prime is 1984629637. The next prime is 1984629649. The reversal of 1984629645 is 5469264891.

1984629645 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 629 + 6 + 4 + 5 = 666.

1984629645 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 13003236 + 1971626409 = 3606^2 + 44403^2 .

It is not a de Polignac number, because 1984629645 - 2³ = 1984629637 is a prime.

It is a super-3 number, since 3×1984629645³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1984629591 and 1984629600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984629649) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8666391 + ... + 8666619.

Almost surely, 2^1984629645 is an apocalyptic number.

1984629645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1984629645 is a deficient number, since it is larger than the sum of its proper divisors (1593732753).

1984629645 is an equidigital number, since it uses as much as digits as its factorization.

1984629645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 266 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1984629645 is about 44549.1823157283. The cubic root of 1984629645 is about 1256.6851739549.

The spelling of 1984629645 in words is "one billion, nine hundred eighty-four million, six hundred twenty-nine thousand, six hundred forty-five".