98274047040 has 280 divisors, whose sum is σ = 376469986200. Its totient is φ = 24190451712.

The previous prime is 98274047021. The next prime is 98274047063. The reversal of 98274047040 is 4074047289.

It can be written as a sum of positive squares in 4 ways, for example, as 23101568064 + 75172478976 = 151992^2 + 274176^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191136 + ... + 482784.

It is an arithmetic number, because the mean of its divisors is an integer number (1344535665).

Almost surely, 2^98274047040 is an apocalyptic number.

98274047040 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 98274047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188234993100).

98274047040 is an abundant number, since it is smaller than the sum of its proper divisors (278195939160).

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

98274047040 is a wasteful number, since it uses less digits than its factorization.

98274047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291691 (or 291672 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 98274047040 in words is "ninety-eight billion, two hundred seventy-four million, forty-seven thousand, forty".