98514270683136 has 3040 divisors, whose sum is σ = 406018590197760. Its totient is φ = 23306069606400.

The previous prime is 98514270683117. The next prime is 98514270683141. The reversal of 98514270683136 is 63138607241589.

98514270683136 is a `hidden beast` number, since 9 + 8 + 514 + 2 + 7 + 0 + 6 + 83 + 1 + 36 = 666.

It is a super-2 number, since 2×98514270683136² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3177879699441 + ... + 3177879699471.

It is a 2-persistent number, because it is pandigital, and so is 2⋅98514270683136 = 197028541366272, but 3⋅98514270683136 = 295542812049408 is not.

Almost surely, 2^{98514270683136} is an apocalyptic number.

98514270683136 is a gapful number since it is divisible by the number (96) 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 98514270683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203009295098880).

98514270683136 is an abundant number, since it is smaller than the sum of its proper divisors (307504319514624).

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

98514270683136 is an frugal number, since it uses more digits than its factorization.

98514270683136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 98514270683136 in words is "ninety-eight trillion, five hundred fourteen billion, two hundred seventy million, six hundred eighty-three thousand, one hundred thirty-six".