1351104016900 has 81 divisors (see below), whose sum is σ = 3222967237077. Its totient is φ = 491264056800.

The previous prime is 1351104016877. The next prime is 1351104016901. The reversal of 1351104016900 is 96104011531.

The square root of 1351104016900 is 1162370.

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., 486397446084 + 864706570816 = 697422^2 + 929896^2 .

It is a super-2 number, since 2×1351104016900² (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 (1351104016901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127855417 + ... + 127865983.

Almost surely, 2^{1351104016900} is an apocalyptic number.

1351104016900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1351104016900 is the 1162370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351104016900

1351104016900 is an abundant number, since it is smaller than the sum of its proper divisors (1871863220177).

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

1351104016900 is an equidigital number, since it uses as much as digits as its factorization.

1351104016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21170 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 1351104016900 in words is "one trillion, three hundred fifty-one billion, one hundred four million, sixteen thousand, nine hundred".