98083364970240 has 1152 divisors, whose sum is σ = 385780802964480. Its totient is φ = 23445006778368.

The previous prime is 98083364970233. The next prime is 98083364970247. The reversal of 98083364970240 is 4207946338089.

98083364970240 is a `hidden beast` number, since 98 + 0 + 8 + 3 + 36 + 497 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98083364970233) and next prime (98083364970247).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×98083364970240³ (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 (98083364970247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3342179247 + ... + 3342208593.

It is an arithmetic number, because the mean of its divisors is an integer number (334879169240).

Almost surely, 2^{98083364970240} is an apocalyptic number.

98083364970240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98083364970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192890401482240).

98083364970240 is an abundant number, since it is smaller than the sum of its proper divisors (287697437994240).

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

98083364970240 is a wasteful number, since it uses less digits than its factorization.

98083364970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29606 (or 29586 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 98083364970240 in words is "ninety-eight trillion, eighty-three billion, three hundred sixty-four million, nine hundred seventy thousand, two hundred forty".