98289828117936 has 160 divisors (see below), whose sum is σ = 347234720555520. Its totient is φ = 25922592020736.

The previous prime is 98289828117889. The next prime is 98289828117961. The reversal of 98289828117936 is 63971182898289.

98289828117936 is a `hidden beast` number, since 9 + 82 + 8 + 98 + 281 + 179 + 3 + 6 = 666.

It is a super-2 number, since 2×98289828117936² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250085690 + ... + 1250164313.

It is an arithmetic number, because the mean of its divisors is an integer number (2170217003472).

Almost surely, 2^{98289828117936} is an apocalyptic number.

It is an amenable number.

98289828117936 is an abundant number, since it is smaller than the sum of its proper divisors (248944892437584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98289828117936 is a wasteful number, since it uses less digits than its factorization.

98289828117936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500250040 (or 2500250028 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 81.

The spelling of 98289828117936 in words is "ninety-eight trillion, two hundred eighty-nine billion, eight hundred twenty-eight million, one hundred seventeen thousand, nine hundred thirty-six".