29004364224900 has 81 divisors (see below), whose sum is σ = 90913074735301. Its totient is φ = 7734454042080.

The previous prime is 29004364224889. The next prime is 29004364224917. The reversal of 29004364224900 is 942246340092.

The square root of 29004364224900 is 5385570.

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

29004364224900 is a `hidden beast` number, since 2 + 90 + 0 + 4 + 36 + 42 + 2 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10441571120964 + 18562793103936 = 3231342^2 + 4308456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161477341 + ... + 161656859.

Almost surely, 2^{29004364224900} is an apocalyptic number.

29004364224900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29004364224900 is the 5385570-th square number.

It is an amenable number.

29004364224900 is an abundant number, since it is smaller than the sum of its proper divisors (61908710510401).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29004364224900 is an frugal number, since it uses more digits than its factorization.

29004364224900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359058 (or 179529 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 29004364224900 in words is "twenty-nine trillion, four billion, three hundred sixty-four million, two hundred twenty-four thousand, nine hundred".