98274726144 has 405 divisors, whose sum is σ = 341979903111. Its totient is φ = 27988208640.

The previous prime is 98274726139. The next prime is 98274726157. The reversal of 98274726144 is 44162747289.

The square root of 98274726144 is 313488.

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

98274726144 is a `hidden beast` number, since 9 + 8 + 27 + 472 + 6 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 315995749 + ... + 315996059.

Almost surely, 2^98274726144 is an apocalyptic number.

98274726144 is the 313488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98274726144

98274726144 is an abundant number, since it is smaller than the sum of its proper divisors (243705176967).

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

98274726144 is an frugal number, since it uses more digits than its factorization.

98274726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 323 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 98274726144 in words is "ninety-eight billion, two hundred seventy-four million, seven hundred twenty-six thousand, one hundred forty-four".