1249821146116 has 81 divisors (see below), whose sum is σ = 2350649543221. Its totient is φ = 581336080000.

The previous prime is 1249821146111. The next prime is 1249821146191. The reversal of 1249821146116 is 6116411289421.

It is a happy number.

The square root of 1249821146116 is 1117954.

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., 973044144900 + 276777001216 = 986430^2 + 526096^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1249821146111) 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, 4979366991 + ... + 4979367241.

Almost surely, 2^{1249821146116} is an apocalyptic number.

1249821146116 is the 1117954-th square number.

It is an amenable number.

1249821146116 is a deficient number, since it is larger than the sum of its proper divisors (1100828397105).

1249821146116 is an equidigital number, since it uses as much as digits as its factorization.

1249821146116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The spelling of 1249821146116 in words is "one trillion, two hundred forty-nine billion, eight hundred twenty-one million, one hundred forty-six thousand, one hundred sixteen".