20000464929 has 81 divisors (see below), whose sum is σ = 31896219667. Its totient is φ = 12074130048.

The previous prime is 20000464927. The next prime is 20000464949. The reversal of 20000464929 is 92946400002.

The square root of 20000464929 is 141423.

It is a perfect power (a square), and thus also a powerful number.

20000464929 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 4 + 649 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15571296225 + 4429168704 = 124785^2 + 66552^2 .

It is not a de Polignac number, because 20000464929 - 2¹ = 20000464927 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20000464893 and 20000464902.

It is not an unprimeable number, because it can be changed into a prime (20000464927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 338990902 + ... + 338990960.

Almost surely, 2^20000464929 is an apocalyptic number.

20000464929 is the 141423-rd square number.

20000464929 is the 70712-nd centered octagonal number.

It is an amenable number.

20000464929 is a deficient number, since it is larger than the sum of its proper divisors (11895754738).

20000464929 is an equidigital number, since it uses as much as digits as its factorization.

20000464929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 20000464929 by its sum of digits (36), we get a square (720016737444 = 848538²).

The spelling of 20000464929 in words is "twenty billion, four hundred sixty-four thousand, nine hundred twenty-nine".