1146826810000 has 75 divisors (see below), whose sum is σ = 2776841689501. Its totient is φ = 458687888000.

The previous prime is 1146826809971. The next prime is 1146826810009. The reversal of 1146826810000 is 186286411.

The square root of 1146826810000 is 1070900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 242075808144 + 904751001856 = 492012^2 + 951184^2 .

It is a super-2 number, since 2×1146826810000² (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 (1146826810009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 107084646 + ... + 107095354.

Almost surely, 2^{1146826810000} is an apocalyptic number.

1146826810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146826810000 is the 1070900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146826810000

1146826810000 is an abundant number, since it is smaller than the sum of its proper divisors (1630014879501).

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

1146826810000 is an frugal number, since it uses more digits than its factorization.

1146826810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 1146826810000 in words is "one trillion, one hundred forty-six billion, eight hundred twenty-six million, eight hundred ten thousand".