92332881000000 has 441 divisors, whose sum is σ = 330918495888253. Its totient is φ = 24614414400000.

The previous prime is 92332880999963. The next prime is 92332881000007. The reversal of 92332881000000 is 18823329.

It is a happy number.

The square root of 92332881000000 is 9609000.

It is a perfect power (a square), and thus also a powerful number.

92332881000000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 80892467712576 + 11440413287424 = 8994024^2 + 3382368^2 .

It is a super-2 number, since 2×92332881000000² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92332881000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28826998399 + ... + 28827001601.

Almost surely, 2^{92332881000000} is an apocalyptic number.

92332881000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

92332881000000 is the 9609000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92332881000000

92332881000000 is an abundant number, since it is smaller than the sum of its proper divisors (238585614888253).

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

92332881000000 is an frugal number, since it uses more digits than its factorization.

92332881000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

92332881000000 divided by its sum of digits (36) gives a square (2564802250000 = 1601500²).

Adding to 92332881000000 its reverse (18823329), we get a palindrome (92332899823329).

The spelling of 92332881000000 in words is "ninety-two trillion, three hundred thirty-two billion, eight hundred eighty-one million", and thus it is an aban number.