98149413488256 has 768 divisors, whose sum is σ = 323602019395200. Its totient is φ = 29426334842880.

The previous prime is 98149413488239. The next prime is 98149413488267. The reversal of 98149413488256 is 65288431494189.

It is a happy number.

98149413488256 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 94 + 1 + 3 + 488 + 2 + 56 = 666.

98149413488256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 2639186910 + ... + 2639224098.

Almost surely, 2^{98149413488256} is an apocalyptic number.

98149413488256 is a gapful number since it is divisible by the number (96) 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 98149413488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161801009697600).

98149413488256 is an abundant number, since it is smaller than the sum of its proper divisors (225452605906944).

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

98149413488256 is a wasteful number, since it uses less digits than its factorization.

98149413488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37399 (or 37375 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 98149413488256 in words is "ninety-eight trillion, one hundred forty-nine billion, four hundred thirteen million, four hundred eighty-eight thousand, two hundred fifty-six".