946146564864 has 432 divisors, whose sum is σ = 2993310290880. Its totient is φ = 286464245760.

The previous prime is 946146564833. The next prime is 946146564929. The reversal of 946146564864 is 468465641649.

It is a happy number.

946146564864 is a `hidden beast` number, since 9 + 4 + 6 + 1 + 4 + 6 + 564 + 8 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93737802 + ... + 93747894.

Almost surely, 2^946146564864 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 946146564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496655145440).

946146564864 is an abundant number, since it is smaller than the sum of its proper divisors (2047163726016).

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

946146564864 is a wasteful number, since it uses less digits than its factorization.

946146564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10211 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 946146564864 in words is "nine hundred forty-six billion, one hundred forty-six million, five hundred sixty-four thousand, eight hundred sixty-four".