110985114240 has 768 divisors, whose sum is σ = 514594080000. Its totient is φ = 21286748160.

The previous prime is 110985114211. The next prime is 110985114241. The reversal of 110985114240 is 42411589011.

110985114240 is a `hidden beast` number, since 1 + 10 + 98 + 511 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110985114195 and 110985114204.

It is not an unprimeable number, because it can be changed into a prime (110985114241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5756136 + ... + 5775384.

It is an arithmetic number, because the mean of its divisors is an integer number (670044375).

Almost surely, 2^110985114240 is an apocalyptic number.

110985114240 is a gapful number since it is divisible by the number (10) 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 110985114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257297040000).

110985114240 is an abundant number, since it is smaller than the sum of its proper divisors (403608965760).

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

110985114240 is a wasteful number, since it uses less digits than its factorization.

110985114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19305 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 110985114240 in words is "one hundred ten billion, nine hundred eighty-five million, one hundred fourteen thousand, two hundred forty".