92123414208 has 224 divisors, whose sum is σ = 309922265600. Its totient is φ = 26286363648.

The previous prime is 92123414057. The next prime is 92123414213. The reversal of 92123414208 is 80241432129.

92123414208 is a `hidden beast` number, since 9 + 212 + 3 + 414 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10022991 + ... + 10032177.

Almost surely, 2^92123414208 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 92123414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154961132800).

92123414208 is an abundant number, since it is smaller than the sum of its proper divisors (217798851392).

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

92123414208 is a wasteful number, since it uses less digits than its factorization.

92123414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 92123414208 in words is "ninety-two billion, one hundred twenty-three million, four hundred fourteen thousand, two hundred eight".