98812514304 has 520 divisors, whose sum is σ = 340751890688. Its totient is φ = 27948810240.

The previous prime is 98812514303. The next prime is 98812514309. The reversal of 98812514304 is 40341521889.

98812514304 is a `hidden beast` number, since 98 + 8 + 1 + 251 + 4 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 98812514304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98812514303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 364621689 + ... + 364621959.

Almost surely, 2^98812514304 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 98812514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170375945344).

98812514304 is an abundant number, since it is smaller than the sum of its proper divisors (241939376384).

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

98812514304 is a wasteful number, since it uses less digits than its factorization.

98812514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 98812514304 in words is "ninety-eight billion, eight hundred twelve million, five hundred fourteen thousand, three hundred four".