110199982464 has 512 divisors, whose sum is σ = 394484428800. Its totient is φ = 29826662400.

The previous prime is 110199982457. The next prime is 110199982471. The reversal of 110199982464 is 464289991011.

110199982464 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 99 + 98 + 2 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (110199982457) and next prime (110199982471).

It is a super-2 number, since 2×110199982464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 110199982464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15316852 + ... + 15324044.

It is an arithmetic number, because the mean of its divisors is an integer number (770477400).

Almost surely, 2^110199982464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110199982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197242214400).

110199982464 is an abundant number, since it is smaller than the sum of its proper divisors (284284446336).

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

110199982464 is a wasteful number, since it uses less digits than its factorization.

110199982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 110199982464 in words is "one hundred ten billion, one hundred ninety-nine million, nine hundred eighty-two thousand, four hundred sixty-four".