98083161440 has 288 divisors, whose sum is σ = 267570293760. Its totient is φ = 33885885440.

The previous prime is 98083161433. The next prime is 98083161457. The reversal of 98083161440 is 4416138089.

98083161440 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 98083161391 and 98083161400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 74361101 + ... + 74362419.

It is an arithmetic number, because the mean of its divisors is an integer number (929063520).

Almost surely, 2^98083161440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98083161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133785146880).

98083161440 is an abundant number, since it is smaller than the sum of its proper divisors (169487132320).

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

98083161440 is a wasteful number, since it uses less digits than its factorization.

98083161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 98083161440 in words is "ninety-eight billion, eighty-three million, one hundred sixty-one thousand, four hundred forty".