98506374912 has 432 divisors, whose sum is σ = 337096480000. Its totient is φ = 28274780160.

The previous prime is 98506374877. The next prime is 98506374913. The reversal of 98506374912 is 21947360589.

98506374912 is a `hidden beast` number, since 98 + 5 + 0 + 63 + 7 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98506374913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15887589 + ... + 15893787.

It is a 1-persistent number, because it is pandigital, but 2⋅98506374912 = 197012749824 is not.

Almost surely, 2^98506374912 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 98506374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168548240000).

98506374912 is an abundant number, since it is smaller than the sum of its proper divisors (238590105088).

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

98506374912 is a wasteful number, since it uses less digits than its factorization.

98506374912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 98506374912 in words is "ninety-eight billion, five hundred six million, three hundred seventy-four thousand, nine hundred twelve".