98116791696 has 675 divisors, whose sum is σ = 366345252273. Its totient is φ = 25259351040.

The previous prime is 98116791691. The next prime is 98116791737. The reversal of 98116791696 is 69619761189.

98116791696 = 1³ + 2³ + ... + 791³.

The square root of 98116791696 is 313236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 96387895296 = 41580^2 + 310464^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (98116791691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 868290136 + ... + 868290248.

Almost surely, 2^98116791696 is an apocalyptic number.

98116791696 is the 313236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98116791696

98116791696 is an abundant number, since it is smaller than the sum of its proper divisors (268228460577).

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

98116791696 is a wasteful number, since it uses less digits than its factorization.

98116791696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 136 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 98116791696 in words is "ninety-eight billion, one hundred sixteen million, seven hundred ninety-one thousand, six hundred ninety-six".