102198334543488 has 192 divisors, whose sum is σ = 302047471864320. Its totient is φ = 33143996897280.

The previous prime is 102198334543453. The next prime is 102198334543493. The reversal of 102198334543488 is 884345433891201.

It is a happy number.

102198334543488 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 9 + 8 + 3 + 3 + 4 + 543 + 4 + 88 = 666.

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

It is a super-2 number, since 2×102198334543488² (a number of 29 digits) contains 22 as substring.

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, 1570533993 + ... + 1570599063.

It is an arithmetic number, because the mean of its divisors is an integer number (1573163915960).

Almost surely, 2^{102198334543488} is an apocalyptic number.

102198334543488 is a gapful number since it is divisible by the number (18) 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 102198334543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151023735932160).

102198334543488 is an abundant number, since it is smaller than the sum of its proper divisors (199849137320832).

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

102198334543488 is a wasteful number, since it uses less digits than its factorization.

102198334543488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101975 (or 101960 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 102198334543488 in words is "one hundred two trillion, one hundred ninety-eight billion, three hundred thirty-four million, five hundred forty-three thousand, four hundred eighty-eight".