111629708455697 has 2 divisors, whose sum is σ = 111629708455698. Its totient is φ = 111629708455696.

The previous prime is 111629708455693. The next prime is 111629708455739. The reversal of 111629708455697 is 796554807926111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88623094752256 + 23006613703441 = 9413984^2 + 4796521^2 .

It is a cyclic number.

It is not a de Polignac number, because 111629708455697 - 2² = 111629708455693 is a prime.

It is a super-2 number, since 2×111629708455697² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111629708455697.

It is not a weakly prime, because it can be changed into another prime (111629708455693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55814854227848 + 55814854227849.

It is an arithmetic number, because the mean of its divisors is an integer number (55814854227849).

Almost surely, 2^{111629708455697} is an apocalyptic number.

It is an amenable number.

111629708455697 is a deficient number, since it is larger than the sum of its proper divisors (1).

111629708455697 is an equidigital number, since it uses as much as digits as its factorization.

111629708455697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 228614400, while the sum is 71.

The spelling of 111629708455697 in words is "one hundred eleven trillion, six hundred twenty-nine billion, seven hundred eight million, four hundred fifty-five thousand, six hundred ninety-seven".