92953116468 has 72 divisors (see below), whose sum is σ = 242663855616. Its totient is φ = 29970100800.

The previous prime is 92953116461. The next prime is 92953116497. The reversal of 92953116468 is 86461135929.

92953116468 is a `hidden beast` number, since 92 + 9 + 531 + 16 + 4 + 6 + 8 = 666.

It is a super-2 number, since 2×92953116468² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92953116461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369905 + ... + 2408807.

It is an arithmetic number, because the mean of its divisors is an integer number (3370331328).

Almost surely, 2^92953116468 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 92953116468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121331927808).

92953116468 is an abundant number, since it is smaller than the sum of its proper divisors (149710739148).

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

92953116468 is a wasteful number, since it uses less digits than its factorization.

92953116468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41085 (or 41080 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 92953116468 in words is "ninety-two billion, nine hundred fifty-three million, one hundred sixteen thousand, four hundred sixty-eight".