1146848228100 has 405 divisors, whose sum is σ = 3792519042543. Its totient is φ = 299786261760.

The previous prime is 1146848228069. The next prime is 1146848228101. The reversal of 1146848228100 is 18228486411.

The square root of 1146848228100 is 1070910.

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

1146848228100 is a `hidden beast` number, since 1 + 1 + 4 + 68 + 482 + 2 + 8 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6275491524 + 1140572736576 = 79218^2 + 1067976^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×1146848228100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1146848228101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7035878619 + ... + 7035878781.

Almost surely, 2^{1146848228100} is an apocalyptic number.

1146848228100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146848228100 is the 1070910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146848228100

1146848228100 is an abundant number, since it is smaller than the sum of its proper divisors (2645670814443).

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

1146848228100 is an equidigital number, since it uses as much as digits as its factorization.

1146848228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1146848228100 in words is "one trillion, one hundred forty-six billion, eight hundred forty-eight million, two hundred twenty-eight thousand, one hundred".