6098114880 has 1008 divisors, whose sum is σ = 26626377024. Its totient is φ = 1265172480.

The previous prime is 6098114857. The next prime is 6098114903. The reversal of 6098114880 is 884118906.

It is an interprime number because it is at equal distance from previous prime (6098114857) and next prime (6098114903).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91016607 + ... + 91016673.

Almost surely, 2^6098114880 is an apocalyptic number.

6098114880 is a gapful number since it is divisible by the number (60) 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 6098114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313188512).

6098114880 is an abundant number, since it is smaller than the sum of its proper divisors (20528262144).

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

6098114880 is a wasteful number, since it uses less digits than its factorization.

6098114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 6098114880 is about 78090.4275823868. The cubic root of 6098114880 is about 1826.9718980114.

The spelling of 6098114880 in words is "six billion, ninety-eight million, one hundred fourteen thousand, eight hundred eighty".