929488810000 has 225 divisors, whose sum is σ = 2332821101259. Its totient is φ = 358645200000.

The previous prime is 929488809923. The next prime is 929488810009. The reversal of 929488810000 is 18884929.

The square root of 929488810000 is 964100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 72871922704 + 856616887296 = 269948^2 + 925536^2 .

It is a super-2 number, since 2×929488810000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (929488810009) 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 44 ways as a sum of consecutive naturals, for example, 2988709845 + ... + 2988710155.

Almost surely, 2^929488810000 is an apocalyptic number.

929488810000 is the 964100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 929488810000

929488810000 is an abundant number, since it is smaller than the sum of its proper divisors (1403332291259).

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

929488810000 is an frugal number, since it uses more digits than its factorization.

929488810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

Multiplying 929488810000 by its sum of digits (49), we get a square (45544951690000 = 6748700²).

The spelling of 929488810000 in words is "nine hundred twenty-nine billion, four hundred eighty-eight million, eight hundred ten thousand".