946315560960 has 1728 divisors, whose sum is σ = 4282138224000. Its totient is φ = 196199055360.

The previous prime is 946315560947. The next prime is 946315561007. The reversal of 946315560960 is 69065513649.

946315560960 is a `hidden beast` number, since 9 + 4 + 6 + 3 + 15 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×946315560960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 946315560897 and 946315560906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2107606816 + ... + 2107607264.

It is an arithmetic number, because the mean of its divisors is an integer number (2478089250).

Almost surely, 2^946315560960 is an apocalyptic number.

946315560960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946315560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141069112000).

946315560960 is an abundant number, since it is smaller than the sum of its proper divisors (3335822663040).

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

946315560960 is a wasteful number, since it uses less digits than its factorization.

946315560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 946315560960 in words is "nine hundred forty-six billion, three hundred fifteen million, five hundred sixty thousand, nine hundred sixty".