945178872000 has 896 divisors, whose sum is σ = 3514807296000. Its totient is φ = 221824512000.

The previous prime is 945178871977. The next prime is 945178872017. The reversal of 945178872000 is 278871549.

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, 1577927701 + ... + 1577928299.

It is an arithmetic number, because the mean of its divisors is an integer number (3922776000).

Almost surely, 2^945178872000 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 945178872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757403648000).

945178872000 is an abundant number, since it is smaller than the sum of its proper divisors (2569628424000).

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

945178872000 is a wasteful number, since it uses less digits than its factorization.

945178872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 945178872000 in words is "nine hundred forty-five billion, one hundred seventy-eight million, eight hundred seventy-two thousand".