945098280000 has 1050 divisors, whose sum is σ = 4073088168006. Its totient is φ = 215986176000.

The previous prime is 945098279999. The next prime is 945098280011. The reversal of 945098280000 is 82890549.

It can be written as a sum of positive squares in 5 ways, for example, as 689046087744 + 256052192256 = 830088^2 + 506016^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

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

It is an unprimeable number.

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 149 ways as a sum of consecutive naturals, for example, 158757024 + ... + 158762976.

Almost surely, 2^945098280000 is an apocalyptic number.

945098280000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945098280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036544084003).

945098280000 is an abundant number, since it is smaller than the sum of its proper divisors (3127989888006).

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

945098280000 is an equidigital number, since it uses as much as digits as its factorization.

945098280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 945098280000 in words is "nine hundred forty-five billion, ninety-eight million, two hundred eighty thousand".