945081000 has 512 divisors, whose sum is σ = 3639168000. Its totient is φ = 225792000.

The previous prime is 945080999. The next prime is 945081019. The reversal of 945081000 is 180549.

It is a super-2 number, since 2×945081000² = 1786356193122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 13310965 + ... + 13311035.

It is an arithmetic number, because the mean of its divisors is an integer number (7107750).

Almost surely, 2^945081000 is an apocalyptic number.

945081000 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 945081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819584000).

945081000 is an abundant number, since it is smaller than the sum of its proper divisors (2694087000).

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

945081000 is a wasteful number, since it uses less digits than its factorization.

945081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 945081000 is about 30742.1697347471. The cubic root of 945081000 is about 981.3479299668.

The spelling of 945081000 in words is "nine hundred forty-five million, eighty-one thousand".