946896020928 has 672 divisors, whose sum is σ = 3296303442432. Its totient is φ = 256048128000.

The previous prime is 946896020881. The next prime is 946896020933. The reversal of 946896020928 is 829020698649.

946896020928 is a `hidden beast` number, since 9 + 468 + 9 + 60 + 20 + 92 + 8 = 666.

It is a super-2 number, since 2×946896020928² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 357722901 + ... + 357725547.

It is an arithmetic number, because the mean of its divisors is an integer number (4905213456).

Almost surely, 2^946896020928 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 946896020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648151721216).

946896020928 is an abundant number, since it is smaller than the sum of its proper divisors (2349407421504).

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

946896020928 is a wasteful number, since it uses less digits than its factorization.

946896020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 946896020928 in words is "nine hundred forty-six billion, eight hundred ninety-six million, twenty thousand, nine hundred twenty-eight".