98944092000 has 960 divisors, whose sum is σ = 396237441600. Its totient is φ = 24180249600.

The previous prime is 98944091999. The next prime is 98944092001. The reversal of 98944092000 is 29044989.

It is an interprime number because it is at equal distance from previous prime (98944091999) and next prime (98944092001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98944092001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 711827931 + ... + 711828069.

It is an arithmetic number, because the mean of its divisors is an integer number (412747335).

Almost surely, 2^98944092000 is an apocalyptic number.

98944092000 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 98944092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198118720800).

98944092000 is an abundant number, since it is smaller than the sum of its proper divisors (297293349600).

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

98944092000 is a wasteful number, since it uses less digits than its factorization.

98944092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 98944092000 in words is "ninety-eight billion, nine hundred forty-four million, ninety-two thousand".