92959834968 has 768 divisors, whose sum is σ = 350210165760. Its totient is φ = 21499084800.

The previous prime is 92959834937. The next prime is 92959834969. The reversal of 92959834968 is 86943895929.

92959834968 is a `hidden beast` number, since 9 + 2 + 9 + 59 + 83 + 496 + 8 = 666.

It is a super-2 number, since 2×92959834968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 92959834896 and 92959834905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92959834969) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 481657080 + ... + 481657272.

It is an arithmetic number, because the mean of its divisors is an integer number (456002820).

Almost surely, 2^92959834968 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 92959834968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175105082880).

92959834968 is an abundant number, since it is smaller than the sum of its proper divisors (257250330792).

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

92959834968 is a wasteful number, since it uses less digits than its factorization.

92959834968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 92959834968 in words is "ninety-two billion, nine hundred fifty-nine million, eight hundred thirty-four thousand, nine hundred sixty-eight".