8958167946 has 240 divisors, whose sum is σ = 25695242496. Its totient is φ = 2311073856.

The previous prime is 8958167927. The next prime is 8958167951. The reversal of 8958167946 is 6497618598.

8958167946 is a `hidden beast` number, since 8 + 9 + 581 + 6 + 7 + 9 + 46 = 666.

8958167946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4849195 + ... + 4851041.

Almost surely, 2^8958167946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8958167946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847621248).

8958167946 is an abundant number, since it is smaller than the sum of its proper divisors (16737074550).

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

8958167946 is a wasteful number, since it uses less digits than its factorization.

8958167946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1919 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 8958167946 is about 94647.5987334069. The cubic root of 8958167946 is about 2076.8560696388.

The spelling of 8958167946 in words is "eight billion, nine hundred fifty-eight million, one hundred sixty-seven thousand, nine hundred forty-six".