945978268368 has 320 divisors, whose sum is σ = 2868294274560. Its totient is φ = 263103676416.

The previous prime is 945978268357. The next prime is 945978268379. The reversal of 945978268368 is 863862879549.

It is an interprime number because it is at equal distance from previous prime (945978268357) and next prime (945978268379).

It is a self number, because there is not a number n which added to its sum of digits gives 945978268368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661985478 + ... + 661986906.

It is an arithmetic number, because the mean of its divisors is an integer number (8963419608).

Almost surely, 2^945978268368 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 945978268368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434147137280).

945978268368 is an abundant number, since it is smaller than the sum of its proper divisors (1922316006192).

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

945978268368 is a wasteful number, since it uses less digits than its factorization.

945978268368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 75.

The spelling of 945978268368 in words is "nine hundred forty-five billion, nine hundred seventy-eight million, two hundred sixty-eight thousand, three hundred sixty-eight".