98214576406128 has 240 divisors, whose sum is σ = 344028462435840. Its totient is φ = 25463715641856.

The previous prime is 98214576406057. The next prime is 98214576406139. The reversal of 98214576406128 is 82160467541289.

It is a happy number.

98214576406128 is a `hidden beast` number, since 9 + 8 + 2 + 1 + 4 + 5 + 7 + 6 + 4 + 0 + 612 + 8 = 666.

98214576406128 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×98214576406128² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62743876 + ... + 64290147.

It is an arithmetic number, because the mean of its divisors is an integer number (1433451926816).

Almost surely, 2^{98214576406128} is an apocalyptic number.

It is an amenable number.

98214576406128 is an abundant number, since it is smaller than the sum of its proper divisors (245813886029712).

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

98214576406128 is a wasteful number, since it uses less digits than its factorization.

98214576406128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127034116 (or 127034107 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 98214576406128 in words is "ninety-eight trillion, two hundred fourteen billion, five hundred seventy-six million, four hundred six thousand, one hundred twenty-eight".