96806137458121 has 45 divisors (see below), whose sum is σ = 122009830915059. Its totient is φ = 76584657685536.

The previous prime is 96806137458091. The next prime is 96806137458133. The reversal of 96806137458121 is 12185473160869.

The square root of 96806137458121 is 9839011.

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

It can be written as a sum of positive squares in 7 ways, for example, as 60611908183225 + 36194229274896 = 7785365^2 + 6016164^2 .

It is not a de Polignac number, because 96806137458121 - 2⁷ = 96806137457993 is a prime.

It is a super-4 number, since 4×96806137458121⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96806137458121.

It is not an unprimeable number, because it can be changed into a prime (96806137158121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11639545855 + ... + 11639554171.

It is a 1-persistent number, because it is pandigital, but 2⋅96806137458121 = 193612274916242 is not.

Almost surely, 2^{96806137458121} is an apocalyptic number.

96806137458121 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

96806137458121 is the 9839011-st square number.

96806137458121 is the 4919506-th centered octagonal number.

It is an amenable number.

96806137458121 is a deficient number, since it is larger than the sum of its proper divisors (25203693456938).

96806137458121 is an frugal number, since it uses more digits than its factorization.

96806137458121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16700 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 96806137458121 in words is "ninety-six trillion, eight hundred six billion, one hundred thirty-seven million, four hundred fifty-eight thousand, one hundred twenty-one".