19229368900 has 135 divisors (see below), whose sum is σ = 48852075741. Its totient is φ = 6569629920.

The previous prime is 19229368889. The next prime is 19229368919. The reversal of 19229368900 is 986392291.

The square root of 19229368900 is 138670.

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

It can be written as a sum of positive squares in only one way, i.e., 6922572804 + 12306796096 = 83202^2 + 110936^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67948159 + ... + 67948441.

Almost surely, 2^19229368900 is an apocalyptic number.

19229368900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19229368900 is the 138670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19229368900

19229368900 is an abundant number, since it is smaller than the sum of its proper divisors (29622706841).

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

19229368900 is an frugal number, since it uses more digits than its factorization.

19229368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 19229368900 by its sum of digits (49), we get a square (942239076100 = 970690²).

19229368900 divided by its sum of digits (49) gives a square (392436100 = 19810²).

It can be divided in two parts, 19229 and 368900, that added together give a square (388129 = 623²).

The spelling of 19229368900 in words is "nineteen billion, two hundred twenty-nine million, three hundred sixty-eight thousand, nine hundred".