110094939864 has 192 divisors, whose sum is σ = 368242056000. Its totient is φ = 28936424448.

The previous prime is 110094939701. The next prime is 110094939893. The reversal of 110094939864 is 468939490011.

It is a happy number.

110094939864 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 9 + 493 + 98 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 110094939864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891062 + ... + 1948410.

It is an arithmetic number, because the mean of its divisors is an integer number (1917927375).

Almost surely, 2^110094939864 is an apocalyptic number.

110094939864 is a gapful number since it is divisible by the number (14) 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 110094939864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184121028000).

110094939864 is an abundant number, since it is smaller than the sum of its proper divisors (258147116136).

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

110094939864 is a wasteful number, since it uses less digits than its factorization.

110094939864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57674 (or 57667 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 110094939864 in words is "one hundred ten billion, ninety-four million, nine hundred thirty-nine thousand, eight hundred sixty-four".