98411397120 has 300 divisors, whose sum is σ = 352836104544. Its totient is φ = 26241269760.

The previous prime is 98411397059. The next prime is 98411397151. The reversal of 98411397120 is 2179311489.

It is a super-2 number, since 2×98411397120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6628105 + ... + 6642935.

Almost surely, 2^98411397120 is an apocalyptic number.

98411397120 is a gapful number since it is divisible by the number (90) 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 98411397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176418052272).

98411397120 is an abundant number, since it is smaller than the sum of its proper divisors (254424707424).

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

98411397120 is an equidigital number, since it uses as much as digits as its factorization.

98411397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 98411397120 in words is "ninety-eight billion, four hundred eleven million, three hundred ninety-seven thousand, one hundred twenty".