98094240000 has 945 divisors, whose sum is σ = 379935829273. Its totient is φ = 25256448000.

The previous prime is 98094239993. The next prime is 98094240007. The reversal of 98094240000 is 4249089.

It is a happy number.

The square root of 98094240000 is 313200.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (98094239993) and next prime (98094240007).

It can be written as a sum of positive squares in 7 ways, for example, as 73367306496 + 24726933504 = 270864^2 + 157248^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98094240007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 3382559986 + ... + 3382560014.

Almost surely, 2^98094240000 is an apocalyptic number.

98094240000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98094240000 is the 313200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98094240000

98094240000 is an abundant number, since it is smaller than the sum of its proper divisors (281841589273).

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

98094240000 is an frugal number, since it uses more digits than its factorization.

98094240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 98094240000 by its sum of digits (36), we get a square (3531392640000 = 1879200²).

98094240000 divided by its sum of digits (36) gives a square (2724840000 = 52200²).

98094240000 divided by its product of nonzero digits (20736) gives a square (4730625 = 2175²).

Adding to 98094240000 its reverse (4249089), we get a palindrome (98098489089).

The spelling of 98094240000 in words is "ninety-eight billion, ninety-four million, two hundred forty thousand".