98153748000 has 2304 divisors, whose sum is σ = 476838835200. Its totient is φ = 19160064000.

The previous prime is 98153747981. The next prime is 98153748001. The reversal of 98153748000 is 84735189.

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

It is not an unprimeable number, because it can be changed into a prime (98153748001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2652803982 + ... + 2652804018.

It is an arithmetic number, because the mean of its divisors is an integer number (206961300).

Almost surely, 2^98153748000 is an apocalyptic number.

98153748000 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 98153748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238419417600).

98153748000 is an abundant number, since it is smaller than the sum of its proper divisors (378685087200).

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

98153748000 is a wasteful number, since it uses less digits than its factorization.

98153748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 98153748000 in words is "ninety-eight billion, one hundred fifty-three million, seven hundred forty-eight thousand".