946077447168 has 528 divisors, whose sum is σ = 3256634594304. Its totient is φ = 258838364160.

The previous prime is 946077447151. The next prime is 946077447209. The reversal of 946077447168 is 861744770649.

946077447168 is a `hidden beast` number, since 9 + 4 + 60 + 77 + 447 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 193985146 + ... + 193990022.

Almost surely, 2^946077447168 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 946077447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628317297152).

946077447168 is an abundant number, since it is smaller than the sum of its proper divisors (2310557147136).

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

946077447168 is a wasteful number, since it uses less digits than its factorization.

946077447168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 946077447168 in words is "nine hundred forty-six billion, seventy-seven million, four hundred forty-seven thousand, one hundred sixty-eight".