98338004964 has 144 divisors (see below), whose sum is σ = 264326462400. Its totient is φ = 31950495360.

The previous prime is 98338004909. The next prime is 98338004983. The reversal of 98338004964 is 46940083389.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98338004964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22609462 + ... + 22613810.

Almost surely, 2^98338004964 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 98338004964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132163231200).

98338004964 is an abundant number, since it is smaller than the sum of its proper divisors (165988457436).

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

98338004964 is a wasteful number, since it uses less digits than its factorization.

98338004964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 98338004964 in words is "ninety-eight billion, three hundred thirty-eight million, four thousand, nine hundred sixty-four".