98214210213252 has 192 divisors, whose sum is σ = 263955467403264. Its totient is φ = 27842419630080.

The previous prime is 98214210213221. The next prime is 98214210213253. The reversal of 98214210213252 is 25231201241289.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (98214210213253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10582282852 + ... + 10582292132.

It is an arithmetic number, because the mean of its divisors is an integer number (1374768059392).

Almost surely, 2^{98214210213252} 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 98214210213252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131977733701632).

98214210213252 is an abundant number, since it is smaller than the sum of its proper divisors (165741257190012).

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

98214210213252 is a wasteful number, since it uses less digits than its factorization.

98214210213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11338 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 98214210213252 in words is "ninety-eight trillion, two hundred fourteen billion, two hundred ten million, two hundred thirteen thousand, two hundred fifty-two".