8954608933116 has 576 divisors, whose sum is σ = 31705645708800. Its totient is φ = 2153155737600.

The previous prime is 8954608933079. The next prime is 8954608933141. The reversal of 8954608933116 is 6113398064598.

8954608933116 is a `hidden beast` number, since 8 + 9 + 5 + 4 + 608 + 9 + 3 + 3 + 1 + 16 = 666.

It is a super-2 number, since 2×8954608933116² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60291675 + ... + 60440013.

It is an arithmetic number, because the mean of its divisors is an integer number (55044523800).

Almost surely, 2^{8954608933116} 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 8954608933116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852822854400).

8954608933116 is an abundant number, since it is smaller than the sum of its proper divisors (22751036775684).

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

8954608933116 is a wasteful number, since it uses less digits than its factorization.

8954608933116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148455 (or 148440 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 8954608933116 in words is "eight trillion, nine hundred fifty-four billion, six hundred eight million, nine hundred thirty-three thousand, one hundred sixteen".