97641977914679 has 16 divisors (see below), whose sum is σ = 113531232773376. Its totient is φ = 82990667184000.

The previous prime is 97641977914597. The next prime is 97641977914699.

97641977914679 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 97641977914679 - 2³⁶ = 97573258437943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97641977914679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97641977914699) 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 in 15 ways as a sum of consecutive naturals, for example, 1728943997 + ... + 1729000470.

It is an arithmetic number, because the mean of its divisors is an integer number (7095702048336).

Almost surely, 2^{97641977914679} is an apocalyptic number.

97641977914679 is a deficient number, since it is larger than the sum of its proper divisors (15889254858697).

97641977914679 is a wasteful number, since it uses less digits than its factorization.

97641977914679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457944646.

The product of its digits is 9073705536, while the sum is 86.

The spelling of 97641977914679 in words is "ninety-seven trillion, six hundred forty-one billion, nine hundred seventy-seven million, nine hundred fourteen thousand, six hundred seventy-nine".