92130312384 has 336 divisors, whose sum is σ = 301008629376. Its totient is φ = 27707443200.

The previous prime is 92130312377. The next prime is 92130312401. The reversal of 92130312384 is 48321303129.

It is a super-3 number, since 3×92130312384³ (a number of 34 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 23434899 + ... + 23438829.

It is an arithmetic number, because the mean of its divisors is an integer number (895859016).

Almost surely, 2^92130312384 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 92130312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150504314688).

92130312384 is an abundant number, since it is smaller than the sum of its proper divisors (208878316992).

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

92130312384 is a wasteful number, since it uses less digits than its factorization.

92130312384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 92130312384 in words is "ninety-two billion, one hundred thirty million, three hundred twelve thousand, three hundred eighty-four".