945191016 has 192 divisors, whose sum is σ = 3220214400. Its totient is φ = 245329920.

The previous prime is 945190963. The next prime is 945191047. The reversal of 945191016 is 610191549.

It is a super-2 number, since 2×945191016² = 1786772113454224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670120 + ... + 671528.

It is an arithmetic number, because the mean of its divisors is an integer number (16771950).

Almost surely, 2^945191016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945191016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610107200).

945191016 is an abundant number, since it is smaller than the sum of its proper divisors (2275023384).

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

945191016 is a wasteful number, since it uses less digits than its factorization.

945191016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 945191016 is about 30743.9590163661. The cubic root of 945191016 is about 981.3860077558.

The spelling of 945191016 in words is "nine hundred forty-five million, one hundred ninety-one thousand, sixteen".