98249711616 has 896 divisors, whose sum is σ = 362365747200. Its totient is φ = 25692733440.

The previous prime is 98249711603. The next prime is 98249711629. The reversal of 98249711616 is 61611794289.

98249711616 is a `hidden beast` number, since 9 + 8 + 2 + 4 + 9 + 7 + 11 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (98249711603) and next prime (98249711629).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103929300 + ... + 1103929388.

Almost surely, 2^98249711616 is an apocalyptic number.

98249711616 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 98249711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181182873600).

98249711616 is an abundant number, since it is smaller than the sum of its proper divisors (264116035584).

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

98249711616 is a wasteful number, since it uses less digits than its factorization.

98249711616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 98249711616 in words is "ninety-eight billion, two hundred forty-nine million, seven hundred eleven thousand, six hundred sixteen".