98138113920 has 512 divisors, whose sum is σ = 433343001600. Its totient is φ = 20392058880.

The previous prime is 98138113907. The next prime is 98138113943. The reversal of 98138113920 is 2931183189.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1293682 + ... + 1367438.

It is an arithmetic number, because the mean of its divisors is an integer number (846373050).

Almost surely, 2^98138113920 is an apocalyptic number.

98138113920 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 98138113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216671500800).

98138113920 is an abundant number, since it is smaller than the sum of its proper divisors (335204887680).

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

98138113920 is a wasteful number, since it uses less digits than its factorization.

98138113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73803 (or 73785 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 98138113920 in words is "ninety-eight billion, one hundred thirty-eight million, one hundred thirteen thousand, nine hundred twenty".