1110010166016 has 144 divisors (see below), whose sum is σ = 3129142087008. Its totient is φ = 348114124800.

The previous prime is 1110010165967. The next prime is 1110010166017. The reversal of 1110010166016 is 6106610100111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1110010166017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40734156 + ... + 40761396.

It is an arithmetic number, because the mean of its divisors is an integer number (21730153382).

Almost surely, 2^{1110010166016} is an apocalyptic number.

1110010166016 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 1110010166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564571043504).

1110010166016 is an abundant number, since it is smaller than the sum of its proper divisors (2019131920992).

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

1110010166016 is a wasteful number, since it uses less digits than its factorization.

1110010166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30398 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 1110010166016 its reverse (6106610100111), we get a palindrome (7216620266127).

The spelling of 1110010166016 in words is "one trillion, one hundred ten billion, ten million, one hundred sixty-six thousand, sixteen".