98394102000 has 480 divisors, whose sum is σ = 358573924800. Its totient is φ = 26077593600.

The previous prime is 98394101983. The next prime is 98394102017. The reversal of 98394102000 is 20149389.

98394102000 is a `hidden beast` number, since 9 + 8 + 39 + 410 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98394101983) and next prime (98394102017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93797476 + ... + 93798524.

It is an arithmetic number, because the mean of its divisors is an integer number (747029010).

Almost surely, 2^98394102000 is an apocalyptic number.

98394102000 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 98394102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179286962400).

98394102000 is an abundant number, since it is smaller than the sum of its proper divisors (260179822800).

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

98394102000 is a wasteful number, since it uses less digits than its factorization.

98394102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 98394102000 in words is "ninety-eight billion, three hundred ninety-four million, one hundred two thousand".