1049948608900 has 81 divisors (see below), whose sum is σ = 2405060949711. Its totient is φ = 397801486080.

The previous prime is 1049948608889. The next prime is 1049948608901. The reversal of 1049948608900 is 98068499401.

It is a happy number.

The square root of 1049948608900 is 1024670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 178653310276 + 871295298624 = 422674^2 + 933432^2 .

It is a super-2 number, since 2×1049948608900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1049948608901) by changing a digit.

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, 194684604 + ... + 194689996.

Almost surely, 2^{1049948608900} is an apocalyptic number.

1049948608900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1049948608900 is the 1024670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049948608900

1049948608900 is an abundant number, since it is smaller than the sum of its proper divisors (1355112340811).

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

1049948608900 is an frugal number, since it uses more digits than its factorization.

1049948608900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10838 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 1049948608900 in words is "one trillion, forty-nine billion, nine hundred forty-eight million, six hundred eight thousand, nine hundred".