9187749076900 has 81 divisors (see below), whose sum is σ = 20438318923113. Its totient is φ = 3584978073600.

The previous prime is 9187749076897. The next prime is 9187749076931. The reversal of 9187749076900 is 96709477819.

The square root of 9187749076900 is 3031130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8427211597156 + 760537479744 = 2902966^2 + 872088^2 .

It is a super-2 number, since 2×9187749076900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1242759604 + ... + 1242766996.

Almost surely, 2^{9187749076900} is an apocalyptic number.

9187749076900 is the 3031130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9187749076900

9187749076900 is an abundant number, since it is smaller than the sum of its proper divisors (11250569846213).

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

9187749076900 is an frugal number, since it uses more digits than its factorization.

9187749076900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14882 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 67.

The spelling of 9187749076900 in words is "nine trillion, one hundred eighty-seven billion, seven hundred forty-nine million, seventy-six thousand, nine hundred".