98541426405744 has 400 divisors, whose sum is σ = 340199353562112. Its totient is φ = 26924546727936.

The previous prime is 98541426405703. The next prime is 98541426405749. The reversal of 98541426405744 is 44750462414589.

It is a happy number.

98541426405744 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 14 + 2 + 6 + 40 + 574 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98541426405749) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 974998957 + ... + 975100019.

Almost surely, 2^{98541426405744} 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 98541426405744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170099676781056).

98541426405744 is an abundant number, since it is smaller than the sum of its proper divisors (241657927156368).

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

98541426405744 is a wasteful number, since it uses less digits than its factorization.

98541426405744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105786 (or 105771 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 98541426405744 in words is "ninety-eight trillion, five hundred forty-one billion, four hundred twenty-six million, four hundred five thousand, seven hundred forty-four".