2956162000068 has 192 divisors, whose sum is σ = 8052425740800. Its totient is φ = 936567152640.

The previous prime is 2956162000067. The next prime is 2956162000081. The reversal of 2956162000068 is 8600002616592.

2956162000068 is a `hidden beast` number, since 2 + 9 + 5 + 616 + 20 + 0 + 0 + 0 + 6 + 8 = 666.

It is a super-3 number, since 3×2956162000068³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2956161999987 and 2956162000032.

It is not an unprimeable number, because it can be changed into a prime (2956162000063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149646480 + ... + 149666232.

It is an arithmetic number, because the mean of its divisors is an integer number (41939717400).

Almost surely, 2^{2956162000068} 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 2956162000068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026212870400).

2956162000068 is an abundant number, since it is smaller than the sum of its proper divisors (5096263740732).

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

2956162000068 is a wasteful number, since it uses less digits than its factorization.

2956162000068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20539 (or 20531 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2956162000068 in words is "two trillion, nine hundred fifty-six billion, one hundred sixty-two million, sixty-eight", and thus it is an aban number.