945146880 has 440 divisors, whose sum is σ = 3531025872. Its totient is φ = 241532928.

The previous prime is 945146857. The next prime is 945146893. The reversal of 945146880 is 88641549.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17832934 + ... + 17832986.

Almost surely, 2^945146880 is an apocalyptic number.

945146880 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 945146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765512936).

945146880 is an abundant number, since it is smaller than the sum of its proper divisors (2585878992).

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

945146880 is a wasteful number, since it uses less digits than its factorization.

945146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 945146880 is about 30743.2412084347. The cubic root of 945146880 is about 981.3707321391.

The spelling of 945146880 in words is "nine hundred forty-five million, one hundred forty-six thousand, eight hundred eighty".