91329629279657 has 2 divisors, whose sum is σ = 91329629279658. Its totient is φ = 91329629279656.

The previous prime is 91329629279573. The next prime is 91329629279731. The reversal of 91329629279657 is 75697292692319.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89723785285696 + 1605843993961 = 9472264^2 + 1267219^2 .

It is a cyclic number.

It is not a de Polignac number, because 91329629279657 - 2¹⁴ = 91329629263273 is a prime.

It is a super-2 number, since 2×91329629279657² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (91329629279857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45664814639828 + 45664814639829.

It is an arithmetic number, because the mean of its divisors is an integer number (45664814639829).

Almost surely, 2^{91329629279657} is an apocalyptic number.

It is an amenable number.

91329629279657 is a deficient number, since it is larger than the sum of its proper divisors (1).

91329629279657 is an equidigital number, since it uses as much as digits as its factorization.

91329629279657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1388832480, while the sum is 77.

The spelling of 91329629279657 in words is "ninety-one trillion, three hundred twenty-nine billion, six hundred twenty-nine million, two hundred seventy-nine thousand, six hundred fifty-seven".