98042446656 has 1120 divisors, whose sum is σ = 386628802560. Its totient is φ = 23813222400.

The previous prime is 98042446637. The next prime is 98042446669. The reversal of 98042446656 is 65664424089.

98042446656 is a `hidden beast` number, since 98 + 0 + 42 + 4 + 466 + 56 = 666.

It is a super-2 number, since 2×98042446656² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 541670886 + ... + 541671066.

It is an arithmetic number, because the mean of its divisors is an integer number (345204288).

Almost surely, 2^98042446656 is an apocalyptic number.

98042446656 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 98042446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193314401280).

98042446656 is an abundant number, since it is smaller than the sum of its proper divisors (288586355904).

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

98042446656 is a wasteful number, since it uses less digits than its factorization.

98042446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 98042446656 in words is "ninety-eight billion, forty-two million, four hundred forty-six thousand, six hundred fifty-six".