98167430016 has 192 divisors, whose sum is σ = 286789932000. Its totient is φ = 32227725312.

The previous prime is 98167429999. The next prime is 98167430069. The reversal of 98167430016 is 61003476189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21721005 + ... + 21725523.

Almost surely, 2^98167430016 is an apocalyptic number.

98167430016 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 98167430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143394966000).

98167430016 is an abundant number, since it is smaller than the sum of its proper divisors (188622501984).

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

98167430016 is a wasteful number, since it uses less digits than its factorization.

98167430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 98167430016 in words is "ninety-eight billion, one hundred sixty-seven million, four hundred thirty thousand, sixteen".