1098385056 has 192 divisors, whose sum is σ = 3452682240. Its totient is φ = 338722560.

The previous prime is 1098385051. The next prime is 1098385109. The reversal of 1098385056 is 6505838901.

1098385056 is a `hidden beast` number, since 109 + 8 + 38 + 505 + 6 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1098385051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615141 + ... + 616923.

It is an arithmetic number, because the mean of its divisors is an integer number (17982720).

Almost surely, 2^1098385056 is an apocalyptic number.

1098385056 is a gapful number since it is divisible by the number (16) 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 1098385056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726341120).

1098385056 is an abundant number, since it is smaller than the sum of its proper divisors (2354297184).

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

1098385056 is a wasteful number, since it uses less digits than its factorization.

1098385056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1842 counting only the distinct ones).

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

The square root of 1098385056 is about 33141.8927642946. The cubic root of 1098385056 is about 1031.7746939192.

The spelling of 1098385056 in words is "one billion, ninety-eight million, three hundred eighty-five thousand, fifty-six".