92166451312896 has 567 divisors, whose sum is σ = 280669524754017. Its totient is φ = 30192672706560.

The previous prime is 92166451312891. The next prime is 92166451312907. The reversal of 92166451312896 is 69821315466129.

The square root of 92166451312896 is 9600336.

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

92166451312896 is a `hidden beast` number, since 9 + 2 + 1 + 6 + 6 + 4 + 513 + 1 + 28 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 587982240000 + 91578469072896 = 766800^2 + 9569664^2 .

It is a super-2 number, since 2×92166451312896² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92166451312891) 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, 294461505636 + ... + 294461505948.

Almost surely, 2^{92166451312896} is an apocalyptic number.

92166451312896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

92166451312896 is the 9600336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92166451312896

92166451312896 is an abundant number, since it is smaller than the sum of its proper divisors (188503073441121).

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

92166451312896 is an frugal number, since it uses more digits than its factorization.

92166451312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 389 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 92166451312896 in words is "ninety-two trillion, one hundred sixty-six billion, four hundred fifty-one million, three hundred twelve thousand, eight hundred ninety-six".