946431728474688 has 672 divisors, whose sum is σ = 3031126072246272. Its totient is φ = 291943126886400.

The previous prime is 946431728474663. The next prime is 946431728474723. The reversal of 946431728474688 is 886474827134649.

946431728474688 is a `hidden beast` number, since 9 + 4 + 6 + 4 + 3 + 1 + 72 + 84 + 7 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46915754970 + ... + 46915775142.

It is an arithmetic number, because the mean of its divisors is an integer number (4510604274176).

Almost surely, 2^{946431728474688} 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 946431728474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515563036123136).

946431728474688 is an abundant number, since it is smaller than the sum of its proper divisors (2084694343771584).

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

946431728474688 is a wasteful number, since it uses less digits than its factorization.

946431728474688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24485 (or 24463 counting only the distinct ones).

The product of its digits is 12485394432, while the sum is 81.

The spelling of 946431728474688 in words is "nine hundred forty-six trillion, four hundred thirty-one billion, seven hundred twenty-eight million, four hundred seventy-four thousand, six hundred eighty-eight".