930056151168 has 192 divisors, whose sum is σ = 2791158289920. Its totient is φ = 296924037120.

The previous prime is 930056151163. The next prime is 930056151173. The reversal of 930056151168 is 861151650039.

930056151168 is a `hidden beast` number, since 9 + 30 + 0 + 561 + 51 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (930056151163) and next prime (930056151173).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (930056151163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3329821 + ... + 3598307.

It is an arithmetic number, because the mean of its divisors is an integer number (14537282760).

Almost surely, 2^930056151168 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 930056151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395579144960).

930056151168 is an abundant number, since it is smaller than the sum of its proper divisors (1861102138752).

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

930056151168 is a wasteful number, since it uses less digits than its factorization.

930056151168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268635 (or 268620 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 930056151168 in words is "nine hundred thirty billion, fifty-six million, one hundred fifty-one thousand, one hundred sixty-eight".