1000110698064 has 120 divisors (see below), whose sum is σ = 2818715796000. Its totient is φ = 331014147840.

The previous prime is 1000110698057. The next prime is 1000110698107. The reversal of 1000110698064 is 4608960110001.

It is a happy number.

It is a super-2 number, since 2×1000110698064² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75926199 + ... + 75939369.

It is an arithmetic number, because the mean of its divisors is an integer number (23489298300).

Almost surely, 2^{1000110698064} 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 1000110698064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409357898000).

1000110698064 is an abundant number, since it is smaller than the sum of its proper divisors (1818605097936).

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

1000110698064 is a wasteful number, since it uses less digits than its factorization.

1000110698064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16873 (or 16864 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1000110698064 in words is "one trillion, one hundred ten million, six hundred ninety-eight thousand, sixty-four".