98541121536 has 1040 divisors, whose sum is σ = 362318466048. Its totient is φ = 26276659200.

The previous prime is 98541121531. The next prime is 98541121577. The reversal of 98541121536 is 63512114589.

It is a happy number.

98541121536 is a `hidden beast` number, since 9 + 85 + 4 + 11 + 21 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98541121491 and 98541121500.

It is not an unprimeable number, because it can be changed into a prime (98541121531) 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, 1470762975 + ... + 1470763041.

Almost surely, 2^98541121536 is an apocalyptic number.

98541121536 is a gapful number since it is divisible by the number (96) 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 98541121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181159233024).

98541121536 is an abundant number, since it is smaller than the sum of its proper divisors (263777344512).

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

98541121536 is a wasteful number, since it uses less digits than its factorization.

98541121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 98541121536 in words is "ninety-eight billion, five hundred forty-one million, one hundred twenty-one thousand, five hundred thirty-six".