98404016256 has 768 divisors, whose sum is σ = 360884160000. Its totient is φ = 25050415104.

The previous prime is 98404016251. The next prime is 98404016377. The reversal of 98404016256 is 65261040489.

It is a super-2 number, since 2×98404016256² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98404016251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494492445 + ... + 494492643.

It is an arithmetic number, because the mean of its divisors is an integer number (469901250).

Almost surely, 2^98404016256 is an apocalyptic number.

98404016256 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 98404016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080000).

98404016256 is an abundant number, since it is smaller than the sum of its proper divisors (262480143744).

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

98404016256 is a wasteful number, since it uses less digits than its factorization.

98404016256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 98404016256 in words is "ninety-eight billion, four hundred four million, sixteen thousand, two hundred fifty-six".