98511247916928 has 960 divisors, whose sum is σ = 369718457724000. Its totient is φ = 25487191572480.

The previous prime is 98511247916923. The next prime is 98511247916953. The reversal of 98511247916928 is 82961974211589.

98511247916928 is a `hidden beast` number, since 9 + 8 + 5 + 112 + 479 + 16 + 9 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98511247916923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2256874048 + ... + 2256917696.

Almost surely, 2^{98511247916928} 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 98511247916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184859228862000).

98511247916928 is an abundant number, since it is smaller than the sum of its proper divisors (271207209807072).

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

98511247916928 is a wasteful number, since it uses less digits than its factorization.

98511247916928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43961 (or 43929 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 98511247916928 in words is "ninety-eight trillion, five hundred eleven billion, two hundred forty-seven million, nine hundred sixteen thousand, nine hundred twenty-eight".