98672893693677 has 12 divisors (see below), whose sum is σ = 142749864935964. Its totient is φ = 65679305210880.

The previous prime is 98672893693663. The next prime is 98672893693769. The reversal of 98672893693677 is 77639639827689.

98672893693677 is a `hidden beast` number, since 9 + 8 + 6 + 72 + 89 + 369 + 36 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60365347796196 + 38307545897481 = 7769514^2 + 6189309^2 .

It is not a de Polignac number, because 98672893693677 - 2⁸ = 98672893693421 is a prime.

It is a super-3 number, since 3×98672893693677³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98672893693477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8551987098 + ... + 8551998635.

It is an arithmetic number, because the mean of its divisors is an integer number (11895822077997).

Almost surely, 2^{98672893693677} is an apocalyptic number.

It is an amenable number.

98672893693677 is a deficient number, since it is larger than the sum of its proper divisors (44076971242287).

98672893693677 is a wasteful number, since it uses less digits than its factorization.

98672893693677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17103986380 (or 17103986377 counting only the distinct ones).

The product of its digits is 62219695104, while the sum is 90.

The spelling of 98672893693677 in words is "ninety-eight trillion, six hundred seventy-two billion, eight hundred ninety-three million, six hundred ninety-three thousand, six hundred seventy-seven".