98234289146448 has 2520 divisors, whose sum is σ = 376810403424000. Its totient is φ = 24573816723456.

The previous prime is 98234289146437. The next prime is 98234289146503. The reversal of 98234289146448 is 84464198243289.

98234289146448 is a `hidden beast` number, since 9 + 8 + 2 + 3 + 42 + 89 + 1 + 464 + 48 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 493639643853 + ... + 493639644051.

Almost surely, 2^{98234289146448} is an apocalyptic number.

98234289146448 is a gapful number since it is divisible by the number (98) 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 98234289146448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188405201712000).

98234289146448 is an abundant number, since it is smaller than the sum of its proper divisors (278576114277552).

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

98234289146448 is a wasteful number, since it uses less digits than its factorization.

98234289146448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 332 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 98234289146448 in words is "ninety-eight trillion, two hundred thirty-four billion, two hundred eighty-nine million, one hundred forty-six thousand, four hundred forty-eight".