98986219323264 has 1024 divisors, whose sum is σ = 369111450624000. Its totient is φ = 25422237794304.

The previous prime is 98986219323197. The next prime is 98986219323269. The reversal of 98986219323264 is 46232391268989.

It is a happy number.

98986219323264 is a `hidden beast` number, since 9 + 8 + 9 + 86 + 219 + 3 + 2 + 326 + 4 = 666.

98986219323264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×98986219323264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 98986219323192 and 98986219323201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98986219323269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1813671144 + ... + 1813725720.

It is an arithmetic number, because the mean of its divisors is an integer number (360460401000).

Almost surely, 2^{98986219323264} 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 98986219323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184555725312000).

98986219323264 is an abundant number, since it is smaller than the sum of its proper divisors (270125231300736).

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

98986219323264 is a wasteful number, since it uses less digits than its factorization.

98986219323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54772 (or 54754 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 98986219323264 in words is "ninety-eight trillion, nine hundred eighty-six billion, two hundred nineteen million, three hundred twenty-three thousand, two hundred sixty-four".